9+2(4w-1)=-4(3w-1)+8w

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Solution for 9+2(4w-1)=-4(3w-1)+8w equation:


Simplifying
9 + 2(4w + -1) = -4(3w + -1) + 8w

Reorder the terms:
9 + 2(-1 + 4w) = -4(3w + -1) + 8w
9 + (-1 * 2 + 4w * 2) = -4(3w + -1) + 8w
9 + (-2 + 8w) = -4(3w + -1) + 8w

Combine like terms: 9 + -2 = 7
7 + 8w = -4(3w + -1) + 8w

Reorder the terms:
7 + 8w = -4(-1 + 3w) + 8w
7 + 8w = (-1 * -4 + 3w * -4) + 8w
7 + 8w = (4 + -12w) + 8w

Combine like terms: -12w + 8w = -4w
7 + 8w = 4 + -4w

Solving
7 + 8w = 4 + -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.
7 + 8w + 4w = 4 + -4w + 4w

Combine like terms: 8w + 4w = 12w
7 + 12w = 4 + -4w + 4w

Combine like terms: -4w + 4w = 0
7 + 12w = 4 + 0
7 + 12w = 4

Add '-7' to each side of the equation.
7 + -7 + 12w = 4 + -7

Combine like terms: 7 + -7 = 0
0 + 12w = 4 + -7
12w = 4 + -7

Combine like terms: 4 + -7 = -3
12w = -3

Divide each side by '12'.
w = -0.25

Simplifying
w = -0.25

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