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Simplifying -1(w + -9) = 5 + w Reorder the terms: -1(-9 + w) = 5 + w (-9 * -1 + w * -1) = 5 + w (9 + -1w) = 5 + w Solving 9 + -1w = 5 + 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. 9 + -1w + -1w = 5 + w + -1w Combine like terms: -1w + -1w = -2w 9 + -2w = 5 + w + -1w Combine like terms: w + -1w = 0 9 + -2w = 5 + 0 9 + -2w = 5 Add '-9' to each side of the equation. 9 + -9 + -2w = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -2w = 5 + -9 -2w = 5 + -9 Combine like terms: 5 + -9 = -4 -2w = -4 Divide each side by '-2'. w = 2 Simplifying w = 2
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