2(w+1)+4w=-3(2w-1)+8

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Solution for 2(w+1)+4w=-3(2w-1)+8 equation: 


Simplifying
2(w + 1) + 4w = -3(2w + -1) + 8

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

Combine like terms: 2w + 4w = 6w
2 + 6w = -3(2w + -1) + 8

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

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

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

Solving
2 + 6w = 11 + -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.
2 + 6w + 6w = 11 + -6w + 6w

Combine like terms: 6w + 6w = 12w
2 + 12w = 11 + -6w + 6w

Combine like terms: -6w + 6w = 0
2 + 12w = 11 + 0
2 + 12w = 11

Add '-2' to each side of the equation.
2 + -2 + 12w = 11 + -2

Combine like terms: 2 + -2 = 0
0 + 12w = 11 + -2
12w = 11 + -2

Combine like terms: 11 + -2 = 9
12w = 9

Divide each side by '12'.
w = 0.75

Simplifying
w = 0.75

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