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Simplifying 6(w + 3) + -1(9w + -6) = -4w Reorder the terms: 6(3 + w) + -1(9w + -6) = -4w (3 * 6 + w * 6) + -1(9w + -6) = -4w (18 + 6w) + -1(9w + -6) = -4w Reorder the terms: 18 + 6w + -1(-6 + 9w) = -4w 18 + 6w + (-6 * -1 + 9w * -1) = -4w 18 + 6w + (6 + -9w) = -4w Reorder the terms: 18 + 6 + 6w + -9w = -4w Combine like terms: 18 + 6 = 24 24 + 6w + -9w = -4w Combine like terms: 6w + -9w = -3w 24 + -3w = -4w Solving 24 + -3w = -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. 24 + -3w + 4w = -4w + 4w Combine like terms: -3w + 4w = 1w 24 + 1w = -4w + 4w Combine like terms: -4w + 4w = 0 24 + 1w = 0 Add '-24' to each side of the equation. 24 + -24 + 1w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 1w = 0 + -24 1w = 0 + -24 Combine like terms: 0 + -24 = -24 1w = -24 Divide each side by '1'. w = -24 Simplifying w = -24
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