To solve this equation, begin by using the Order of Operations.  The first operation will be the one that is contained within the parentheses.  When a term with an exponent is raised to a power, multiply the exponents.

Rewrite the expression:

Simplify by combining like terms:

There is one more step. The terms must be placed in descending order based upon the exponents. In this equation, the term  , has the largest exponent so it will go first followed by  which has an exponent of 1.  Constants are placed last in the equation.

To simplify this algebraic expression, combine like terms. Make sure to distribute the minus sin to all terms and constants within the parentheses. 

 is the correct answer.

When solving this problem we need to remember our order of operations, or PEMDAS. 

PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.

Parentheses: We are not able to add a variable  to a number, so we move to the next step. 

Multiplication: We can distribute (or multiply) the . 

Addition/Subtraction: Remember, we can't add a variable  to a number, so the  is left alone.

Now we have 

When solving this problem we need to remember our order of operations, or PEMDAS. 

PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.

Parentheses: We are not able to add a variable  to a number, so we move to the next step. 

Multiplication: We can distribute (or multiply) the . 

Addition/Subtraction: Remember, we can't add a variable  to a number, so the  is left alone.

When solving this problem we need to remember our order of operations, or PEMDAS. 

PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.

Parentheses: We are not able to add a variable  to a number, so we move on to the next step

Multiplication: We can distribute the negative sign to the  and 

Remember, a negative times a negative will equal a positive, so we have a 

Finally we can combine like terms

Divide both sides by :

To solve: 

First, solve both equations on each end, keeping the variable.

Then, subtract 15 from each side of the equation.

Finally, divide each side by 3 so that only the variable remains.

Subtract 19, then divide by 7:

First multiply the original price by 30%.

Then subtract that amount from the original price.

The sale price is $84.00

First solve the parentheses.

Then solve from left to right since multiplication and division are interchangeable:

The answer is 20.