1-3(-7w-3)-8w=3+5w

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Solution for 1-3(-7w-3)-8w=3+5w equation: 


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

Reorder the terms:
1 + -3(-3 + -7w) + -8w = 3 + 5w
1 + (-3 * -3 + -7w * -3) + -8w = 3 + 5w
1 + (9 + 21w) + -8w = 3 + 5w

Combine like terms: 1 + 9 = 10
10 + 21w + -8w = 3 + 5w

Combine like terms: 21w + -8w = 13w
10 + 13w = 3 + 5w

Solving
10 + 13w = 3 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
10 + 13w + -5w = 3 + 5w + -5w

Combine like terms: 13w + -5w = 8w
10 + 8w = 3 + 5w + -5w

Combine like terms: 5w + -5w = 0
10 + 8w = 3 + 0
10 + 8w = 3

Add '-10' to each side of the equation.
10 + -10 + 8w = 3 + -10

Combine like terms: 10 + -10 = 0
0 + 8w = 3 + -10
8w = 3 + -10

Combine like terms: 3 + -10 = -7
8w = -7

Divide each side by '8'.
w = -0.875

Simplifying
w = -0.875

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