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Simplifying 3(3 + -1w) = 5(2w + 7) (3 * 3 + -1w * 3) = 5(2w + 7) (9 + -3w) = 5(2w + 7) Reorder the terms: 9 + -3w = 5(7 + 2w) 9 + -3w = (7 * 5 + 2w * 5) 9 + -3w = (35 + 10w) Solving 9 + -3w = 35 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 9 + -3w + -10w = 35 + 10w + -10w Combine like terms: -3w + -10w = -13w 9 + -13w = 35 + 10w + -10w Combine like terms: 10w + -10w = 0 9 + -13w = 35 + 0 9 + -13w = 35 Add '-9' to each side of the equation. 9 + -9 + -13w = 35 + -9 Combine like terms: 9 + -9 = 0 0 + -13w = 35 + -9 -13w = 35 + -9 Combine like terms: 35 + -9 = 26 -13w = 26 Divide each side by '-13'. w = -2 Simplifying w = -2
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