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Simplifying 1 + -2(5 + -1w) = 3w + -8 1 + (5 * -2 + -1w * -2) = 3w + -8 1 + (-10 + 2w) = 3w + -8 Combine like terms: 1 + -10 = -9 -9 + 2w = 3w + -8 Reorder the terms: -9 + 2w = -8 + 3w Solving -9 + 2w = -8 + 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. -9 + 2w + -3w = -8 + 3w + -3w Combine like terms: 2w + -3w = -1w -9 + -1w = -8 + 3w + -3w Combine like terms: 3w + -3w = 0 -9 + -1w = -8 + 0 -9 + -1w = -8 Add '9' to each side of the equation. -9 + 9 + -1w = -8 + 9 Combine like terms: -9 + 9 = 0 0 + -1w = -8 + 9 -1w = -8 + 9 Combine like terms: -8 + 9 = 1 -1w = 1 Divide each side by '-1'. w = -1 Simplifying w = -1
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