∣2a−15∣=7

Sure, let's solve the absolute value equation step by step.

The absolute value equation |2a - 15| = 7 can be split into two separate equations:

2a - 15 = 7 and 2a - 15 = -7

Let's solve each equation separately:

For 2a - 15 = 7:

Step 1: Add 15 to both sides of the equation: 2a = 7 + 15 2a = 22

Step 2: Divide both sides of the equation by 2: a = 22 / 2 a = 11

For 2a - 15 = -7:

Step 1: Add 15 to both sides of the equation: 2a = -7 + 15 2a = 8

Step 2: Divide both sides of the equation by 2: a = 8 / 2 a = 4

So, the solutions to the equation |2a - 15| = 7 are a = 11 and a = 4.