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Simplifying 8 + -1(3 + w) = w + -9 8 + (3 * -1 + w * -1) = w + -9 8 + (-3 + -1w) = w + -9 Combine like terms: 8 + -3 = 5 5 + -1w = w + -9 Reorder the terms: 5 + -1w = -9 + w Solving 5 + -1w = -9 + w 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. 5 + -1w + -1w = -9 + w + -1w Combine like terms: -1w + -1w = -2w 5 + -2w = -9 + w + -1w Combine like terms: w + -1w = 0 5 + -2w = -9 + 0 5 + -2w = -9 Add '-5' to each side of the equation. 5 + -5 + -2w = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -2w = -9 + -5 -2w = -9 + -5 Combine like terms: -9 + -5 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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