2w-8+2(5w+7)=-4(w+3)

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Solution for 2w-8+2(5w+7)=-4(w+3) equation:


Simplifying
2w + -8 + 2(5w + 7) = -4(w + 3)

Reorder the terms:
2w + -8 + 2(7 + 5w) = -4(w + 3)
2w + -8 + (7 * 2 + 5w * 2) = -4(w + 3)
2w + -8 + (14 + 10w) = -4(w + 3)

Reorder the terms:
-8 + 14 + 2w + 10w = -4(w + 3)

Combine like terms: -8 + 14 = 6
6 + 2w + 10w = -4(w + 3)

Combine like terms: 2w + 10w = 12w
6 + 12w = -4(w + 3)

Reorder the terms:
6 + 12w = -4(3 + w)
6 + 12w = (3 * -4 + w * -4)
6 + 12w = (-12 + -4w)

Solving
6 + 12w = -12 + -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.
6 + 12w + 4w = -12 + -4w + 4w

Combine like terms: 12w + 4w = 16w
6 + 16w = -12 + -4w + 4w

Combine like terms: -4w + 4w = 0
6 + 16w = -12 + 0
6 + 16w = -12

Add '-6' to each side of the equation.
6 + -6 + 16w = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 16w = -12 + -6
16w = -12 + -6

Combine like terms: -12 + -6 = -18
16w = -18

Divide each side by '16'.
w = -1.125

Simplifying
w = -1.125

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