-2(w-2)+7=3(w+6)

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Solution for -2(w-2)+7=3(w+6) equation: 


Simplifying
-2(w + -2) + 7 = 3(w + 6)

Reorder the terms:
-2(-2 + w) + 7 = 3(w + 6)
(-2 * -2 + w * -2) + 7 = 3(w + 6)
(4 + -2w) + 7 = 3(w + 6)

Reorder the terms:
4 + 7 + -2w = 3(w + 6)

Combine like terms: 4 + 7 = 11
11 + -2w = 3(w + 6)

Reorder the terms:
11 + -2w = 3(6 + w)
11 + -2w = (6 * 3 + w * 3)
11 + -2w = (18 + 3w)

Solving
11 + -2w = 18 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
11 + -2w + -3w = 18 + 3w + -3w

Combine like terms: -2w + -3w = -5w
11 + -5w = 18 + 3w + -3w

Combine like terms: 3w + -3w = 0
11 + -5w = 18 + 0
11 + -5w = 18

Add '-11' to each side of the equation.
11 + -11 + -5w = 18 + -11

Combine like terms: 11 + -11 = 0
0 + -5w = 18 + -11
-5w = 18 + -11

Combine like terms: 18 + -11 = 7
-5w = 7

Divide each side by '-5'.
w = -1.4

Simplifying
w = -1.4

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