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Simplifying 9w + -30 = 5(w + 2) Reorder the terms: -30 + 9w = 5(w + 2) Reorder the terms: -30 + 9w = 5(2 + w) -30 + 9w = (2 * 5 + w * 5) -30 + 9w = (10 + 5w) Solving -30 + 9w = 10 + 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. -30 + 9w + -5w = 10 + 5w + -5w Combine like terms: 9w + -5w = 4w -30 + 4w = 10 + 5w + -5w Combine like terms: 5w + -5w = 0 -30 + 4w = 10 + 0 -30 + 4w = 10 Add '30' to each side of the equation. -30 + 30 + 4w = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 4w = 10 + 30 4w = 10 + 30 Combine like terms: 10 + 30 = 40 4w = 40 Divide each side by '4'. w = 10 Simplifying w = 10
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