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Simplifying 15w + -3(4w + -6) = 3w + 9 + -9w Reorder the terms: 15w + -3(-6 + 4w) = 3w + 9 + -9w 15w + (-6 * -3 + 4w * -3) = 3w + 9 + -9w 15w + (18 + -12w) = 3w + 9 + -9w Reorder the terms: 18 + 15w + -12w = 3w + 9 + -9w Combine like terms: 15w + -12w = 3w 18 + 3w = 3w + 9 + -9w Reorder the terms: 18 + 3w = 9 + 3w + -9w Combine like terms: 3w + -9w = -6w 18 + 3w = 9 + -6w Solving 18 + 3w = 9 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 18 + 3w + 6w = 9 + -6w + 6w Combine like terms: 3w + 6w = 9w 18 + 9w = 9 + -6w + 6w Combine like terms: -6w + 6w = 0 18 + 9w = 9 + 0 18 + 9w = 9 Add '-18' to each side of the equation. 18 + -18 + 9w = 9 + -18 Combine like terms: 18 + -18 = 0 0 + 9w = 9 + -18 9w = 9 + -18 Combine like terms: 9 + -18 = -9 9w = -9 Divide each side by '9'. w = -1 Simplifying w = -1
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