-(3w-8)-(4-9w)+3=7w-2-(5w+9-3)

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Solution for -(3w-8)-(4-9w)+3=7w-2-(5w+9-3) equation:


Simplifying
-1(3w + -8) + -1(4 + -9w) + 3 = 7w + -2 + -1(5w + 9 + -3)

Reorder the terms:
-1(-8 + 3w) + -1(4 + -9w) + 3 = 7w + -2 + -1(5w + 9 + -3)
(-8 * -1 + 3w * -1) + -1(4 + -9w) + 3 = 7w + -2 + -1(5w + 9 + -3)
(8 + -3w) + -1(4 + -9w) + 3 = 7w + -2 + -1(5w + 9 + -3)
8 + -3w + (4 * -1 + -9w * -1) + 3 = 7w + -2 + -1(5w + 9 + -3)
8 + -3w + (-4 + 9w) + 3 = 7w + -2 + -1(5w + 9 + -3)

Reorder the terms:
8 + -4 + 3 + -3w + 9w = 7w + -2 + -1(5w + 9 + -3)

Combine like terms: 8 + -4 = 4
4 + 3 + -3w + 9w = 7w + -2 + -1(5w + 9 + -3)

Combine like terms: 4 + 3 = 7
7 + -3w + 9w = 7w + -2 + -1(5w + 9 + -3)

Combine like terms: -3w + 9w = 6w
7 + 6w = 7w + -2 + -1(5w + 9 + -3)

Reorder the terms:
7 + 6w = 7w + -2 + -1(9 + -3 + 5w)

Combine like terms: 9 + -3 = 6
7 + 6w = 7w + -2 + -1(6 + 5w)
7 + 6w = 7w + -2 + (6 * -1 + 5w * -1)
7 + 6w = 7w + -2 + (-6 + -5w)

Reorder the terms:
7 + 6w = -2 + -6 + 7w + -5w

Combine like terms: -2 + -6 = -8
7 + 6w = -8 + 7w + -5w

Combine like terms: 7w + -5w = 2w
7 + 6w = -8 + 2w

Solving
7 + 6w = -8 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
7 + 6w + -2w = -8 + 2w + -2w

Combine like terms: 6w + -2w = 4w
7 + 4w = -8 + 2w + -2w

Combine like terms: 2w + -2w = 0
7 + 4w = -8 + 0
7 + 4w = -8

Add '-7' to each side of the equation.
7 + -7 + 4w = -8 + -7

Combine like terms: 7 + -7 = 0
0 + 4w = -8 + -7
4w = -8 + -7

Combine like terms: -8 + -7 = -15
4w = -15

Divide each side by '4'.
w = -3.75

Simplifying
w = -3.75

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