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Simplifying 3(w + 4) + -4(w + 5) = 0 Reorder the terms: 3(4 + w) + -4(w + 5) = 0 (4 * 3 + w * 3) + -4(w + 5) = 0 (12 + 3w) + -4(w + 5) = 0 Reorder the terms: 12 + 3w + -4(5 + w) = 0 12 + 3w + (5 * -4 + w * -4) = 0 12 + 3w + (-20 + -4w) = 0 Reorder the terms: 12 + -20 + 3w + -4w = 0 Combine like terms: 12 + -20 = -8 -8 + 3w + -4w = 0 Combine like terms: 3w + -4w = -1w -8 + -1w = 0 Solving -8 + -1w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1w = 0 + 8 -1w = 0 + 8 Combine like terms: 0 + 8 = 8 -1w = 8 Divide each side by '-1'. w = -8 Simplifying w = -8
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