7(6+w)=6(2-w)

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Solution for 7(6+w)=6(2-w) equation: 


Simplifying
7(6 + w) = 6(2 + -1w)
(6 * 7 + w * 7) = 6(2 + -1w)
(42 + 7w) = 6(2 + -1w)
42 + 7w = (2 * 6 + -1w * 6)
42 + 7w = (12 + -6w)

Solving
42 + 7w = 12 + -6w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '6w' to each side of the equation.
42 + 7w + 6w = 12 + -6w + 6w

Combine like terms: 7w + 6w = 13w
42 + 13w = 12 + -6w + 6w

Combine like terms: -6w + 6w = 0
42 + 13w = 12 + 0
42 + 13w = 12

Add '-42' to each side of the equation.
42 + -42 + 13w = 12 + -42

Combine like terms: 42 + -42 = 0
0 + 13w = 12 + -42
13w = 12 + -42

Combine like terms: 12 + -42 = -30
13w = -30

Divide each side by '13'.
w = -2.307692308

Simplifying
w = -2.307692308

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