Question

Solving a linear equation with several occurrences of the variable, solve for w. Simplify your answer as much as possible.

(7w + 6)/6 + (9w +8)/2 = 22​

Answer 1

Answer:

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Step-by-step explanation:

(7w + 6)/6 + (9w +8)/2 = 22

or, [7w + 6 + 3(9w + 8)]/6 = 22

or, 7w + 6 + 27w + 24 = 132

or, 34w + 30 = 132

or, 34w = 132 - 30

or, 34w = 102

or, w = 102/34

Therefore, w = 3

Answer: w = 3

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Answer 2

Step-by-step explanation:

(7w + 6)/6 + (9w +8)/2 = 22

or, [7w + 6 + 3(9w + 8)]/6 = 22

or, 7w + 6 + 27w + 24 = 132

or, 34w + 30 = 132

or, 34w = 132 - 30

or, 34w = 102

or, w = 102/34

Therefore, w = 3

Answer: w = 3