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Simplifying -4(2w + -3) + 3w = 5(w + 6) Reorder the terms: -4(-3 + 2w) + 3w = 5(w + 6) (-3 * -4 + 2w * -4) + 3w = 5(w + 6) (12 + -8w) + 3w = 5(w + 6) Combine like terms: -8w + 3w = -5w 12 + -5w = 5(w + 6) Reorder the terms: 12 + -5w = 5(6 + w) 12 + -5w = (6 * 5 + w * 5) 12 + -5w = (30 + 5w) Solving 12 + -5w = 30 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 12 + -5w + -5w = 30 + 5w + -5w Combine like terms: -5w + -5w = -10w 12 + -10w = 30 + 5w + -5w Combine like terms: 5w + -5w = 0 12 + -10w = 30 + 0 12 + -10w = 30 Add '-12' to each side of the equation. 12 + -12 + -10w = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -10w = 30 + -12 -10w = 30 + -12 Combine like terms: 30 + -12 = 18 -10w = 18 Divide each side by '-10'. w = -1.8 Simplifying w = -1.8
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