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

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


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

Reorder the terms:
-4(3 + w) = 3w + -8 + 2(4w + 7)
(3 * -4 + w * -4) = 3w + -8 + 2(4w + 7)
(-12 + -4w) = 3w + -8 + 2(4w + 7)

Reorder the terms:
-12 + -4w = 3w + -8 + 2(7 + 4w)
-12 + -4w = 3w + -8 + (7 * 2 + 4w * 2)
-12 + -4w = 3w + -8 + (14 + 8w)

Reorder the terms:
-12 + -4w = -8 + 14 + 3w + 8w

Combine like terms: -8 + 14 = 6
-12 + -4w = 6 + 3w + 8w

Combine like terms: 3w + 8w = 11w
-12 + -4w = 6 + 11w

Solving
-12 + -4w = 6 + 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.
-12 + -4w + -11w = 6 + 11w + -11w

Combine like terms: -4w + -11w = -15w
-12 + -15w = 6 + 11w + -11w

Combine like terms: 11w + -11w = 0
-12 + -15w = 6 + 0
-12 + -15w = 6

Add '12' to each side of the equation.
-12 + 12 + -15w = 6 + 12

Combine like terms: -12 + 12 = 0
0 + -15w = 6 + 12
-15w = 6 + 12

Combine like terms: 6 + 12 = 18
-15w = 18

Divide each side by '-15'.
w = -1.2

Simplifying
w = -1.2

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