10=42-8(-2-1w)

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Solution for 10=42-8(-2-1w) equation:


Simplifying
10 = 42 + -8(-2 + -1w)
10 = 42 + (-2 * -8 + -1w * -8)
10 = 42 + (16 + 8w)

Combine like terms: 42 + 16 = 58
10 = 58 + 8w

Solving
10 = 58 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
10 + -8w = 58 + 8w + -8w

Combine like terms: 8w + -8w = 0
10 + -8w = 58 + 0
10 + -8w = 58

Add '-10' to each side of the equation.
10 + -10 + -8w = 58 + -10

Combine like terms: 10 + -10 = 0
0 + -8w = 58 + -10
-8w = 58 + -10

Combine like terms: 58 + -10 = 48
-8w = 48

Divide each side by '-8'.
w = -6

Simplifying
w = -6

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