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Simplifying -1(w + -10) = 3w + -2 + -7 + 8 Reorder the terms: -1(-10 + w) = 3w + -2 + -7 + 8 (-10 * -1 + w * -1) = 3w + -2 + -7 + 8 (10 + -1w) = 3w + -2 + -7 + 8 Reorder the terms: 10 + -1w = -2 + -7 + 8 + 3w Combine like terms: -2 + -7 = -9 10 + -1w = -9 + 8 + 3w Combine like terms: -9 + 8 = -1 10 + -1w = -1 + 3w Solving 10 + -1w = -1 + 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. 10 + -1w + -3w = -1 + 3w + -3w Combine like terms: -1w + -3w = -4w 10 + -4w = -1 + 3w + -3w Combine like terms: 3w + -3w = 0 10 + -4w = -1 + 0 10 + -4w = -1 Add '-10' to each side of the equation. 10 + -10 + -4w = -1 + -10 Combine like terms: 10 + -10 = 0 0 + -4w = -1 + -10 -4w = -1 + -10 Combine like terms: -1 + -10 = -11 -4w = -11 Divide each side by '-4'. w = 2.75 Simplifying w = 2.75
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