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Simplifying 9 + -1(w + -8) = 0.5(2w + -5) Reorder the terms: 9 + -1(-8 + w) = 0.5(2w + -5) 9 + (-8 * -1 + w * -1) = 0.5(2w + -5) 9 + (8 + -1w) = 0.5(2w + -5) Combine like terms: 9 + 8 = 17 17 + -1w = 0.5(2w + -5) Reorder the terms: 17 + -1w = 0.5(-5 + 2w) 17 + -1w = (-5 * 0.5 + 2w * 0.5) 17 + -1w = (-2.5 + 1w) Solving 17 + -1w = -2.5 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 17 + -1w + -1w = -2.5 + 1w + -1w Combine like terms: -1w + -1w = -2w 17 + -2w = -2.5 + 1w + -1w Combine like terms: 1w + -1w = 0 17 + -2w = -2.5 + 0 17 + -2w = -2.5 Add '-17' to each side of the equation. 17 + -17 + -2w = -2.5 + -17 Combine like terms: 17 + -17 = 0 0 + -2w = -2.5 + -17 -2w = -2.5 + -17 Combine like terms: -2.5 + -17 = -19.5 -2w = -19.5 Divide each side by '-2'. w = 9.75 Simplifying w = 9.75
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