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Simplifying 3(3 + -1w) + -1(2)(w + -4) = -1(2w + -4) (3 * 3 + -1w * 3) + -1(2)(w + -4) = -1(2w + -4) (9 + -3w) + -1(2)(w + -4) = -1(2w + -4) Reorder the terms: 9 + -3w + -1 * 2(-4 + w) = -1(2w + -4) Multiply -1 * 2 9 + -3w + -2(-4 + w) = -1(2w + -4) 9 + -3w + (-4 * -2 + w * -2) = -1(2w + -4) 9 + -3w + (8 + -2w) = -1(2w + -4) Reorder the terms: 9 + 8 + -3w + -2w = -1(2w + -4) Combine like terms: 9 + 8 = 17 17 + -3w + -2w = -1(2w + -4) Combine like terms: -3w + -2w = -5w 17 + -5w = -1(2w + -4) Reorder the terms: 17 + -5w = -1(-4 + 2w) 17 + -5w = (-4 * -1 + 2w * -1) 17 + -5w = (4 + -2w) Solving 17 + -5w = 4 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 17 + -5w + 2w = 4 + -2w + 2w Combine like terms: -5w + 2w = -3w 17 + -3w = 4 + -2w + 2w Combine like terms: -2w + 2w = 0 17 + -3w = 4 + 0 17 + -3w = 4 Add '-17' to each side of the equation. 17 + -17 + -3w = 4 + -17 Combine like terms: 17 + -17 = 0 0 + -3w = 4 + -17 -3w = 4 + -17 Combine like terms: 4 + -17 = -13 -3w = -13 Divide each side by '-3'. w = 4.333333333 Simplifying w = 4.333333333
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