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

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


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

Reorder the terms:
-7(2 + w) + -1(-3w + -8) = -5w
(2 * -7 + w * -7) + -1(-3w + -8) = -5w
(-14 + -7w) + -1(-3w + -8) = -5w

Reorder the terms:
-14 + -7w + -1(-8 + -3w) = -5w
-14 + -7w + (-8 * -1 + -3w * -1) = -5w
-14 + -7w + (8 + 3w) = -5w

Reorder the terms:
-14 + 8 + -7w + 3w = -5w

Combine like terms: -14 + 8 = -6
-6 + -7w + 3w = -5w

Combine like terms: -7w + 3w = -4w
-6 + -4w = -5w

Solving
-6 + -4w = -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.
-6 + -4w + 5w = -5w + 5w

Combine like terms: -4w + 5w = 1w
-6 + 1w = -5w + 5w

Combine like terms: -5w + 5w = 0
-6 + 1w = 0

Add '6' to each side of the equation.
-6 + 6 + 1w = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 1w = 0 + 6
1w = 0 + 6

Combine like terms: 0 + 6 = 6
1w = 6

Divide each side by '1'.
w = 6

Simplifying
w = 6

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