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Simplifying 3(w + 4) = -2(1.5 + -6) Reorder the terms: 3(4 + w) = -2(1.5 + -6) (4 * 3 + w * 3) = -2(1.5 + -6) (12 + 3w) = -2(1.5 + -6) Combine like terms: 1.5 + -6 = -4.5 12 + 3w = -2(-4.5) Multiply -2 * -4.5 12 + 3w = 9 Solving 12 + 3w = 9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3w = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 3w = 9 + -12 3w = 9 + -12 Combine like terms: 9 + -12 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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