-9(w+1)-(-4w-8)=-6w

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Solution for -9(w+1)-(-4w-8)=-6w equation:


Simplifying
-9(w + 1) + -1(-4w + -8) = -6w

Reorder the terms:
-9(1 + w) + -1(-4w + -8) = -6w
(1 * -9 + w * -9) + -1(-4w + -8) = -6w
(-9 + -9w) + -1(-4w + -8) = -6w

Reorder the terms:
-9 + -9w + -1(-8 + -4w) = -6w
-9 + -9w + (-8 * -1 + -4w * -1) = -6w
-9 + -9w + (8 + 4w) = -6w

Reorder the terms:
-9 + 8 + -9w + 4w = -6w

Combine like terms: -9 + 8 = -1
-1 + -9w + 4w = -6w

Combine like terms: -9w + 4w = -5w
-1 + -5w = -6w

Solving
-1 + -5w = -6w

Solving for variable 'w'.

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

Add '6w' to each side of the equation.
-1 + -5w + 6w = -6w + 6w

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

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

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

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

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

Divide each side by '1'.
w = 1

Simplifying
w = 1

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