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Chapter 1: Q28. (page 49)

Solve the equation and check the solution.

3w+14=7w+2

Short Answer

Expert verified

The solution is w=3.

Step by step solution

01

Step 1- Consider the equation.

Consider the equation 3w+14=7w+2.

Separate the coefficient of on one side of the equation.

02

Step 2- Step description.

3w+14=7w+23w鈭�7w=2鈭�14鈭�4w=鈭�12

03

Step 3- Step description.

Divide both sides of the equation by -4.

鈭�4w=鈭�12鈭�4w鈭�4=鈭�12鈭�4w=3

Therefore, the solution is w=3.

04

Step 4- Verify the solution.

Substitute w=3in the equation and simplify as follows:

3w+14=7w+233+14=73+29+14=21+223=23

Since the left-hand side of the equation is equal to the right-hand side of the equation, therefore, the solution is w=3.

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