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

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


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

Reorder the terms:
6 = -5w + 3(-4 + w)
6 = -5w + (-4 * 3 + w * 3)
6 = -5w + (-12 + 3w)

Reorder the terms:
6 = -12 + -5w + 3w

Combine like terms: -5w + 3w = -2w
6 = -12 + -2w

Solving
6 = -12 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
6 + 2w = -12 + -2w + 2w

Combine like terms: -2w + 2w = 0
6 + 2w = -12 + 0
6 + 2w = -12

Add '-6' to each side of the equation.
6 + -6 + 2w = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 2w = -12 + -6
2w = -12 + -6

Combine like terms: -12 + -6 = -18
2w = -18

Divide each side by '2'.
w = -9

Simplifying
w = -9

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