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

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Solution for -2(3w-5)-8=4-3(5w+1) equation: 


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

Reorder the terms:
-2(-5 + 3w) + -8 = 4 + -3(5w + 1)
(-5 * -2 + 3w * -2) + -8 = 4 + -3(5w + 1)
(10 + -6w) + -8 = 4 + -3(5w + 1)

Reorder the terms:
10 + -8 + -6w = 4 + -3(5w + 1)

Combine like terms: 10 + -8 = 2
2 + -6w = 4 + -3(5w + 1)

Reorder the terms:
2 + -6w = 4 + -3(1 + 5w)
2 + -6w = 4 + (1 * -3 + 5w * -3)
2 + -6w = 4 + (-3 + -15w)

Combine like terms: 4 + -3 = 1
2 + -6w = 1 + -15w

Solving
2 + -6w = 1 + -15w

Solving for variable 'w'.

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

Add '15w' to each side of the equation.
2 + -6w + 15w = 1 + -15w + 15w

Combine like terms: -6w + 15w = 9w
2 + 9w = 1 + -15w + 15w

Combine like terms: -15w + 15w = 0
2 + 9w = 1 + 0
2 + 9w = 1

Add '-2' to each side of the equation.
2 + -2 + 9w = 1 + -2

Combine like terms: 2 + -2 = 0
0 + 9w = 1 + -2
9w = 1 + -2

Combine like terms: 1 + -2 = -1
9w = -1

Divide each side by '9'.
w = -0.1111111111

Simplifying
w = -0.1111111111

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