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Simplifying 5(w + 9) = 8w + 30 Reorder the terms: 5(9 + w) = 8w + 30 (9 * 5 + w * 5) = 8w + 30 (45 + 5w) = 8w + 30 Reorder the terms: 45 + 5w = 30 + 8w Solving 45 + 5w = 30 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 45 + 5w + -8w = 30 + 8w + -8w Combine like terms: 5w + -8w = -3w 45 + -3w = 30 + 8w + -8w Combine like terms: 8w + -8w = 0 45 + -3w = 30 + 0 45 + -3w = 30 Add '-45' to each side of the equation. 45 + -45 + -3w = 30 + -45 Combine like terms: 45 + -45 = 0 0 + -3w = 30 + -45 -3w = 30 + -45 Combine like terms: 30 + -45 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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