-2w-22=3(w-4)

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Solution for -2w-22=3(w-4) equation:


Simplifying
-2w + -22 = 3(w + -4)

Reorder the terms:
-22 + -2w = 3(w + -4)

Reorder the terms:
-22 + -2w = 3(-4 + w)
-22 + -2w = (-4 * 3 + w * 3)
-22 + -2w = (-12 + 3w)

Solving
-22 + -2w = -12 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-22 + -2w + -3w = -12 + 3w + -3w

Combine like terms: -2w + -3w = -5w
-22 + -5w = -12 + 3w + -3w

Combine like terms: 3w + -3w = 0
-22 + -5w = -12 + 0
-22 + -5w = -12

Add '22' to each side of the equation.
-22 + 22 + -5w = -12 + 22

Combine like terms: -22 + 22 = 0
0 + -5w = -12 + 22
-5w = -12 + 22

Combine like terms: -12 + 22 = 10
-5w = 10

Divide each side by '-5'.
w = -2

Simplifying
w = -2

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