-8w-42=-2(w-6)

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Solution for -8w-42=-2(w-6) equation:


Simplifying
-8w + -42 = -2(w + -6)

Reorder the terms:
-42 + -8w = -2(w + -6)

Reorder the terms:
-42 + -8w = -2(-6 + w)
-42 + -8w = (-6 * -2 + w * -2)
-42 + -8w = (12 + -2w)

Solving
-42 + -8w = 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.
-42 + -8w + 2w = 12 + -2w + 2w

Combine like terms: -8w + 2w = -6w
-42 + -6w = 12 + -2w + 2w

Combine like terms: -2w + 2w = 0
-42 + -6w = 12 + 0
-42 + -6w = 12

Add '42' to each side of the equation.
-42 + 42 + -6w = 12 + 42

Combine like terms: -42 + 42 = 0
0 + -6w = 12 + 42
-6w = 12 + 42

Combine like terms: 12 + 42 = 54
-6w = 54

Divide each side by '-6'.
w = -9

Simplifying
w = -9

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