## Algebra 1

Published by Prentice Hall

# Chapter 3 - Solving Inequalities - Cumulative Test Prep - Gridded Response: 25

#### Answer

d=$\frac{10}{7}$

#### Work Step by Step

To solve for d in the equation 11(d+1)=4(d+8), we'll start by applying the distributive property (which says that a(b+c)=ab+ac) to both sides of the equation. We'll distribute the 11 on the left side, and we'll distribute the 4 on the right side. This will result in 11d+22=4d+32 We'll then subtract 4d from both sides of the equation and subtract 22 from both sides of the equation to isolate the d term on one side. We'll then get 7d=10 Now, to solve for d, we'll divide by 7 on both sides of the equation to get d=$\frac{10}{7}$

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