3(w+7)=-3(4w-1)+w

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Solution for 3(w+7)=-3(4w-1)+w equation:


Simplifying
3(w + 7) = -3(4w + -1) + w

Reorder the terms:
3(7 + w) = -3(4w + -1) + w
(7 * 3 + w * 3) = -3(4w + -1) + w
(21 + 3w) = -3(4w + -1) + w

Reorder the terms:
21 + 3w = -3(-1 + 4w) + w
21 + 3w = (-1 * -3 + 4w * -3) + w
21 + 3w = (3 + -12w) + w

Combine like terms: -12w + w = -11w
21 + 3w = 3 + -11w

Solving
21 + 3w = 3 + -11w

Solving for variable 'w'.

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

Add '11w' to each side of the equation.
21 + 3w + 11w = 3 + -11w + 11w

Combine like terms: 3w + 11w = 14w
21 + 14w = 3 + -11w + 11w

Combine like terms: -11w + 11w = 0
21 + 14w = 3 + 0
21 + 14w = 3

Add '-21' to each side of the equation.
21 + -21 + 14w = 3 + -21

Combine like terms: 21 + -21 = 0
0 + 14w = 3 + -21
14w = 3 + -21

Combine like terms: 3 + -21 = -18
14w = -18

Divide each side by '14'.
w = -1.285714286

Simplifying
w = -1.285714286

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