5w-3(w-6)=-4w-6

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Solution for 5w-3(w-6)=-4w-6 equation:


Simplifying
5w + -3(w + -6) = -4w + -6

Reorder the terms:
5w + -3(-6 + w) = -4w + -6
5w + (-6 * -3 + w * -3) = -4w + -6
5w + (18 + -3w) = -4w + -6

Reorder the terms:
18 + 5w + -3w = -4w + -6

Combine like terms: 5w + -3w = 2w
18 + 2w = -4w + -6

Reorder the terms:
18 + 2w = -6 + -4w

Solving
18 + 2w = -6 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
18 + 2w + 4w = -6 + -4w + 4w

Combine like terms: 2w + 4w = 6w
18 + 6w = -6 + -4w + 4w

Combine like terms: -4w + 4w = 0
18 + 6w = -6 + 0
18 + 6w = -6

Add '-18' to each side of the equation.
18 + -18 + 6w = -6 + -18

Combine like terms: 18 + -18 = 0
0 + 6w = -6 + -18
6w = -6 + -18

Combine like terms: -6 + -18 = -24
6w = -24

Divide each side by '6'.
w = -4

Simplifying
w = -4

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