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

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Solution for 3(w+1)-2(1+4w)=-8w+7 equation: 


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

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

Reorder the terms:
3 + -2 + 3w + -8w = -8w + 7

Combine like terms: 3 + -2 = 1
1 + 3w + -8w = -8w + 7

Combine like terms: 3w + -8w = -5w
1 + -5w = -8w + 7

Reorder the terms:
1 + -5w = 7 + -8w

Solving
1 + -5w = 7 + -8w

Solving for variable 'w'.

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

Add '8w' to each side of the equation.
1 + -5w + 8w = 7 + -8w + 8w

Combine like terms: -5w + 8w = 3w
1 + 3w = 7 + -8w + 8w

Combine like terms: -8w + 8w = 0
1 + 3w = 7 + 0
1 + 3w = 7

Add '-1' to each side of the equation.
1 + -1 + 3w = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 3w = 7 + -1
3w = 7 + -1

Combine like terms: 7 + -1 = 6
3w = 6

Divide each side by '3'.
w = 2

Simplifying
w = 2

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