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Simplifying -3(4w + -1) + 9w = 9 + 6(2w + -3) Reorder the terms: -3(-1 + 4w) + 9w = 9 + 6(2w + -3) (-1 * -3 + 4w * -3) + 9w = 9 + 6(2w + -3) (3 + -12w) + 9w = 9 + 6(2w + -3) Combine like terms: -12w + 9w = -3w 3 + -3w = 9 + 6(2w + -3) Reorder the terms: 3 + -3w = 9 + 6(-3 + 2w) 3 + -3w = 9 + (-3 * 6 + 2w * 6) 3 + -3w = 9 + (-18 + 12w) Combine like terms: 9 + -18 = -9 3 + -3w = -9 + 12w Solving 3 + -3w = -9 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 3 + -3w + -12w = -9 + 12w + -12w Combine like terms: -3w + -12w = -15w 3 + -15w = -9 + 12w + -12w Combine like terms: 12w + -12w = 0 3 + -15w = -9 + 0 3 + -15w = -9 Add '-3' to each side of the equation. 3 + -3 + -15w = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -15w = -9 + -3 -15w = -9 + -3 Combine like terms: -9 + -3 = -12 -15w = -12 Divide each side by '-15'. w = 0.8 Simplifying w = 0.8
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