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Simplifying 9(w + -3) + -1(8 + 4w) = 4w Reorder the terms: 9(-3 + w) + -1(8 + 4w) = 4w (-3 * 9 + w * 9) + -1(8 + 4w) = 4w (-27 + 9w) + -1(8 + 4w) = 4w -27 + 9w + (8 * -1 + 4w * -1) = 4w -27 + 9w + (-8 + -4w) = 4w Reorder the terms: -27 + -8 + 9w + -4w = 4w Combine like terms: -27 + -8 = -35 -35 + 9w + -4w = 4w Combine like terms: 9w + -4w = 5w -35 + 5w = 4w Solving -35 + 5w = 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -35 + 5w + -4w = 4w + -4w Combine like terms: 5w + -4w = 1w -35 + 1w = 4w + -4w Combine like terms: 4w + -4w = 0 -35 + 1w = 0 Add '35' to each side of the equation. -35 + 35 + 1w = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 1w = 0 + 35 1w = 0 + 35 Combine like terms: 0 + 35 = 35 1w = 35 Divide each side by '1'. w = 35 Simplifying w = 35
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