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Simplifying 9w + -5 = 5(w + 3) Reorder the terms: -5 + 9w = 5(w + 3) Reorder the terms: -5 + 9w = 5(3 + w) -5 + 9w = (3 * 5 + w * 5) -5 + 9w = (15 + 5w) Solving -5 + 9w = 15 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -5 + 9w + -5w = 15 + 5w + -5w Combine like terms: 9w + -5w = 4w -5 + 4w = 15 + 5w + -5w Combine like terms: 5w + -5w = 0 -5 + 4w = 15 + 0 -5 + 4w = 15 Add '5' to each side of the equation. -5 + 5 + 4w = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 4w = 15 + 5 4w = 15 + 5 Combine like terms: 15 + 5 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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