2(w-4)=-3(2w+1)+11

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Solution for 2(w-4)=-3(2w+1)+11 equation: 


Simplifying
2(w + -4) = -3(2w + 1) + 11

Reorder the terms:
2(-4 + w) = -3(2w + 1) + 11
(-4 * 2 + w * 2) = -3(2w + 1) + 11
(-8 + 2w) = -3(2w + 1) + 11

Reorder the terms:
-8 + 2w = -3(1 + 2w) + 11
-8 + 2w = (1 * -3 + 2w * -3) + 11
-8 + 2w = (-3 + -6w) + 11

Reorder the terms:
-8 + 2w = -3 + 11 + -6w

Combine like terms: -3 + 11 = 8
-8 + 2w = 8 + -6w

Solving
-8 + 2w = 8 + -6w

Solving for variable 'w'.

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

Add '6w' to each side of the equation.
-8 + 2w + 6w = 8 + -6w + 6w

Combine like terms: 2w + 6w = 8w
-8 + 8w = 8 + -6w + 6w

Combine like terms: -6w + 6w = 0
-8 + 8w = 8 + 0
-8 + 8w = 8

Add '8' to each side of the equation.
-8 + 8 + 8w = 8 + 8

Combine like terms: -8 + 8 = 0
0 + 8w = 8 + 8
8w = 8 + 8

Combine like terms: 8 + 8 = 16
8w = 16

Divide each side by '8'.
w = 2

Simplifying
w = 2

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