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Chapter 2: Q.29. (page 111)

Solve the linear equation52m+4+8m-7=235+m-21-3m.

Short Answer

Expert verified

The solution ism=6.

Step by step solution

01

Step 1. Given information.

The given equation is52m+4+8m-7=235+m-21-3m.

02

Step 2. Simplify inner most parenthesis first.

52m+4+8m-7=235+m-21-3m52m+8+8m-56=215+3m-21+3m

Combine like terms in the braces.

510m-48=26m-6

03

Step 3. Apply the distributive property to simplify the equation.

Simplify each side of the equation.

5脳10m-5脳48=2脳6m-2脳650m-240=12m-12

04

Step 4. Collect all variables terms on other side of the equation.

Subtract 12mfrom each side.

50m-240-12m=12m-12-12m38m-240=-12

05

Step 5. Collect all constant terms on other side of the equation and then simplify.

Add 240to each side.

38m-240+240=-12+24038m=228

Divide each side by 38.

38m38=22838m=6

Hence, the required solution of the given equation ism=6.

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