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Chapter 2: Q. 48 (page 216)

In the following exercise, solve each equation.

−(23d−13)+53d=−4

Short Answer

Expert verified

d=-133

Step by step solution

01

Step 1. Given information

In the following exercise, solve each equation.

−(23d−13)+53d=−4

02

Step 2. Explanation

Simplify⇒−(23d−13)+53d=−4⇒−23d+13+53d=−4Distributeontheleft⇒−23d+53d+13=−4UsetheCommutativePropertytorearrangeterms.⇒−23d+53d+13=−4CombineliketermsandtakingLCDonleftside⇒−2d+5d3+13=−4⇒3d3+13=−4⇒d+13=−4Subtract13fromboththesides⇒d+13−13=−4−13⇒d=−4−13⇒d=−12−13TakeLCDonrightside⇒d=−133

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