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Simplifying 6(w + 4) = 3w + 9 Reorder the terms: 6(4 + w) = 3w + 9 (4 * 6 + w * 6) = 3w + 9 (24 + 6w) = 3w + 9 Reorder the terms: 24 + 6w = 9 + 3w Solving 24 + 6w = 9 + 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. 24 + 6w + -3w = 9 + 3w + -3w Combine like terms: 6w + -3w = 3w 24 + 3w = 9 + 3w + -3w Combine like terms: 3w + -3w = 0 24 + 3w = 9 + 0 24 + 3w = 9 Add '-24' to each side of the equation. 24 + -24 + 3w = 9 + -24 Combine like terms: 24 + -24 = 0 0 + 3w = 9 + -24 3w = 9 + -24 Combine like terms: 9 + -24 = -15 3w = -15 Divide each side by '3'. w = -5 Simplifying w = -5
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