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Simplifying 3(w + 4) = -6(4w + -4) + 9w Reorder the terms: 3(4 + w) = -6(4w + -4) + 9w (4 * 3 + w * 3) = -6(4w + -4) + 9w (12 + 3w) = -6(4w + -4) + 9w Reorder the terms: 12 + 3w = -6(-4 + 4w) + 9w 12 + 3w = (-4 * -6 + 4w * -6) + 9w 12 + 3w = (24 + -24w) + 9w Combine like terms: -24w + 9w = -15w 12 + 3w = 24 + -15w Solving 12 + 3w = 24 + -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. 12 + 3w + 15w = 24 + -15w + 15w Combine like terms: 3w + 15w = 18w 12 + 18w = 24 + -15w + 15w Combine like terms: -15w + 15w = 0 12 + 18w = 24 + 0 12 + 18w = 24 Add '-12' to each side of the equation. 12 + -12 + 18w = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 18w = 24 + -12 18w = 24 + -12 Combine like terms: 24 + -12 = 12 18w = 12 Divide each side by '18'. w = 0.6666666667 Simplifying w = 0.6666666667
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