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Simplifying 5(w + 3) + -1(4w + 5) = 5 Reorder the terms: 5(3 + w) + -1(4w + 5) = 5 (3 * 5 + w * 5) + -1(4w + 5) = 5 (15 + 5w) + -1(4w + 5) = 5 Reorder the terms: 15 + 5w + -1(5 + 4w) = 5 15 + 5w + (5 * -1 + 4w * -1) = 5 15 + 5w + (-5 + -4w) = 5 Reorder the terms: 15 + -5 + 5w + -4w = 5 Combine like terms: 15 + -5 = 10 10 + 5w + -4w = 5 Combine like terms: 5w + -4w = 1w 10 + 1w = 5 Solving 10 + 1w = 5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 1w = 5 + -10 Combine like terms: 10 + -10 = 0 0 + 1w = 5 + -10 1w = 5 + -10 Combine like terms: 5 + -10 = -5 1w = -5 Divide each side by '1'. w = -5 Simplifying w = -5
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