How Do You Solve a Multi-Step Equation Using Order of Operations in Reverse?

When solving equations with more than one operation, use the order of operations in reverse order
't' is a variable representing a number here

1. When solving equations with more than one operation, use the order of operations in reverse order
1. Undo the subtraction of '6t' by adding it to both sides
2. The addition of '6t' cancels out the subtraction of '6t' on the left side
1. Undo the division by '2' by multiplying both sides by '2'
2. The multiplication of '2' cancels out the division by '2' on the left side
1. Multiply the 9 by each term in (t+3)
2. Multiply the 2 by each term in (3+6t)
1. 't' is a variable representing a number here
1. Get the terms with 't' together and the terms that are just numbers together
1. The '9t' terms on the left cancel each other out
2. 12t -9t = 3t
1. Get the terms that are just numbers together on one side
2. The '6' terms on the right cancel each other out
3. 27-6 = 21
1. Dividing by '3' will cancel out the multiplication by '3' on the right side, leaving us with 't'
2. 't' is a variable representing a number here
3. 21/3 = 7
1. 't' is a variable representing a number here
1. 't' is a variable representing a number here
1. 't' is a variable representing a number here
1. Plug in '7' for 't' in the original equation, then simply to see if it equals '3'
1. 6t = 6•7 = 42
1. 7+3 = 10
1. A true statement means we did everything correctly

Solve the equation [9(t+3)]/2 - 6•t = 3 for t