-2w-22=-6(w+7)

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Solution for -2w-22=-6(w+7) equation:


Simplifying
-2w + -22 = -6(w + 7)

Reorder the terms:
-22 + -2w = -6(w + 7)

Reorder the terms:
-22 + -2w = -6(7 + w)
-22 + -2w = (7 * -6 + w * -6)
-22 + -2w = (-42 + -6w)

Solving
-22 + -2w = -42 + -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.
-22 + -2w + 6w = -42 + -6w + 6w

Combine like terms: -2w + 6w = 4w
-22 + 4w = -42 + -6w + 6w

Combine like terms: -6w + 6w = 0
-22 + 4w = -42 + 0
-22 + 4w = -42

Add '22' to each side of the equation.
-22 + 22 + 4w = -42 + 22

Combine like terms: -22 + 22 = 0
0 + 4w = -42 + 22
4w = -42 + 22

Combine like terms: -42 + 22 = -20
4w = -20

Divide each side by '4'.
w = -5

Simplifying
w = -5

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