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Simplifying 3(w + 4) = -2(1.5w + -6) Reorder the terms: 3(4 + w) = -2(1.5w + -6) (4 * 3 + w * 3) = -2(1.5w + -6) (12 + 3w) = -2(1.5w + -6) Reorder the terms: 12 + 3w = -2(-6 + 1.5w) 12 + 3w = (-6 * -2 + 1.5w * -2) 12 + 3w = (12 + -3w) Add '-12' to each side of the equation. 12 + -12 + 3w = 12 + -12 + -3w Combine like terms: 12 + -12 = 0 0 + 3w = 12 + -12 + -3w 3w = 12 + -12 + -3w Combine like terms: 12 + -12 = 0 3w = 0 + -3w 3w = -3w Solving 3w = -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. 3w + 3w = -3w + 3w Combine like terms: 3w + 3w = 6w 6w = -3w + 3w Combine like terms: -3w + 3w = 0 6w = 0 Divide each side by '6'. w = 0 Simplifying w = 0
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