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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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