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Simplifying 3(w + 4) + 6(w + -5) = 0 Reorder the terms: 3(4 + w) + 6(w + -5) = 0 (4 * 3 + w * 3) + 6(w + -5) = 0 (12 + 3w) + 6(w + -5) = 0 Reorder the terms: 12 + 3w + 6(-5 + w) = 0 12 + 3w + (-5 * 6 + w * 6) = 0 12 + 3w + (-30 + 6w) = 0 Reorder the terms: 12 + -30 + 3w + 6w = 0 Combine like terms: 12 + -30 = -18 -18 + 3w + 6w = 0 Combine like terms: 3w + 6w = 9w -18 + 9w = 0 Solving -18 + 9w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 9w = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 9w = 0 + 18 9w = 0 + 18 Combine like terms: 0 + 18 = 18 9w = 18 Divide each side by '9'. w = 2 Simplifying w = 2
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