4w-4+3(2w+2)=-4(w+4)

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


Simplifying
4w + -4 + 3(2w + 2) = -4(w + 4)

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

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

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

Combine like terms: 4w + 6w = 10w
2 + 10w = -4(w + 4)

Reorder the terms:
2 + 10w = -4(4 + w)
2 + 10w = (4 * -4 + w * -4)
2 + 10w = (-16 + -4w)

Solving
2 + 10w = -16 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
2 + 10w + 4w = -16 + -4w + 4w

Combine like terms: 10w + 4w = 14w
2 + 14w = -16 + -4w + 4w

Combine like terms: -4w + 4w = 0
2 + 14w = -16 + 0
2 + 14w = -16

Add '-2' to each side of the equation.
2 + -2 + 14w = -16 + -2

Combine like terms: 2 + -2 = 0
0 + 14w = -16 + -2
14w = -16 + -2

Combine like terms: -16 + -2 = -18
14w = -18

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

Simplifying
w = -1.285714286

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