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Simplifying -3(7w + -4) + 9w = 3(w + 6) Reorder the terms: -3(-4 + 7w) + 9w = 3(w + 6) (-4 * -3 + 7w * -3) + 9w = 3(w + 6) (12 + -21w) + 9w = 3(w + 6) Combine like terms: -21w + 9w = -12w 12 + -12w = 3(w + 6) Reorder the terms: 12 + -12w = 3(6 + w) 12 + -12w = (6 * 3 + w * 3) 12 + -12w = (18 + 3w) Solving 12 + -12w = 18 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 12 + -12w + -3w = 18 + 3w + -3w Combine like terms: -12w + -3w = -15w 12 + -15w = 18 + 3w + -3w Combine like terms: 3w + -3w = 0 12 + -15w = 18 + 0 12 + -15w = 18 Add '-12' to each side of the equation. 12 + -12 + -15w = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -15w = 18 + -12 -15w = 18 + -12 Combine like terms: 18 + -12 = 6 -15w = 6 Divide each side by '-15'. w = -0.4 Simplifying w = -0.4
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