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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 = 1 1 + -3w + 2w = -1(2w + -4) Combine like terms: -3w + 2w = -1w 1 + -1w = -1(2w + -4) Reorder the terms: 1 + -1w = -1(-4 + 2w) 1 + -1w = (-4 * -1 + 2w * -1) 1 + -1w = (4 + -2w) Solving 1 + -1w = 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. 1 + -1w + 2w = 4 + -2w + 2w Combine like terms: -1w + 2w = 1w 1 + 1w = 4 + -2w + 2w Combine like terms: -2w + 2w = 0 1 + 1w = 4 + 0 1 + 1w = 4 Add '-1' to each side of the equation. 1 + -1 + 1w = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 1w = 4 + -1 1w = 4 + -1 Combine like terms: 4 + -1 = 3 1w = 3 Divide each side by '1'. w = 3 Simplifying w = 3
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