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Simplifying 5(w + 1) = 9w + 13 Reorder the terms: 5(1 + w) = 9w + 13 (1 * 5 + w * 5) = 9w + 13 (5 + 5w) = 9w + 13 Reorder the terms: 5 + 5w = 13 + 9w Solving 5 + 5w = 13 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 5 + 5w + -9w = 13 + 9w + -9w Combine like terms: 5w + -9w = -4w 5 + -4w = 13 + 9w + -9w Combine like terms: 9w + -9w = 0 5 + -4w = 13 + 0 5 + -4w = 13 Add '-5' to each side of the equation. 5 + -5 + -4w = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -4w = 13 + -5 -4w = 13 + -5 Combine like terms: 13 + -5 = 8 -4w = 8 Divide each side by '-4'. w = -2 Simplifying w = -2
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