7w+7-3(-4w-2)=5(w-1)

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Solution for 7w+7-3(-4w-2)=5(w-1) equation:


Simplifying
7w + 7 + -3(-4w + -2) = 5(w + -1)

Reorder the terms:
7w + 7 + -3(-2 + -4w) = 5(w + -1)
7w + 7 + (-2 * -3 + -4w * -3) = 5(w + -1)
7w + 7 + (6 + 12w) = 5(w + -1)

Reorder the terms:
7 + 6 + 7w + 12w = 5(w + -1)

Combine like terms: 7 + 6 = 13
13 + 7w + 12w = 5(w + -1)

Combine like terms: 7w + 12w = 19w
13 + 19w = 5(w + -1)

Reorder the terms:
13 + 19w = 5(-1 + w)
13 + 19w = (-1 * 5 + w * 5)
13 + 19w = (-5 + 5w)

Solving
13 + 19w = -5 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
13 + 19w + -5w = -5 + 5w + -5w

Combine like terms: 19w + -5w = 14w
13 + 14w = -5 + 5w + -5w

Combine like terms: 5w + -5w = 0
13 + 14w = -5 + 0
13 + 14w = -5

Add '-13' to each side of the equation.
13 + -13 + 14w = -5 + -13

Combine like terms: 13 + -13 = 0
0 + 14w = -5 + -13
14w = -5 + -13

Combine like terms: -5 + -13 = -18
14w = -18

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

Simplifying
w = -1.285714286

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