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Simplifying 4(w + 4) + -5(w + 5) = 0 Reorder the terms: 4(4 + w) + -5(w + 5) = 0 (4 * 4 + w * 4) + -5(w + 5) = 0 (16 + 4w) + -5(w + 5) = 0 Reorder the terms: 16 + 4w + -5(5 + w) = 0 16 + 4w + (5 * -5 + w * -5) = 0 16 + 4w + (-25 + -5w) = 0 Reorder the terms: 16 + -25 + 4w + -5w = 0 Combine like terms: 16 + -25 = -9 -9 + 4w + -5w = 0 Combine like terms: 4w + -5w = -1w -9 + -1w = 0 Solving -9 + -1w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1w = 0 + 9 -1w = 0 + 9 Combine like terms: 0 + 9 = 9 -1w = 9 Divide each side by '-1'. w = -9 Simplifying w = -9
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