−2a−9=6a+15 . Check your solution.

a = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

-2a - 9 = 6a + 15

Step 2: Solve for a

Add 2a on both sides:                    -9 = 8a + 15Subtract 15 on both sides:              -24 = 8aDivide 8 on both sides:                  -3 = aRewrite:                                           a = -3

Step 3: Check

Plug in a into the original equation to verify it is a solution.

Substitute in a:                    -2(-3) - 9 = 6(-3) + 15Multiply:                               6 - 9 = -18 + 15Subtract/Add:                      -3 = -3

Here we see that -3 does indeed equal -3.

∴ a = -3 is a solution of the equation.

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