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Simplifying 9 + 2(5w + 3) = 13w Reorder the terms: 9 + 2(3 + 5w) = 13w 9 + (3 * 2 + 5w * 2) = 13w 9 + (6 + 10w) = 13w Combine like terms: 9 + 6 = 15 15 + 10w = 13w Solving 15 + 10w = 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. 15 + 10w + -13w = 13w + -13w Combine like terms: 10w + -13w = -3w 15 + -3w = 13w + -13w Combine like terms: 13w + -13w = 0 15 + -3w = 0 Add '-15' to each side of the equation. 15 + -15 + -3w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -3w = 0 + -15 -3w = 0 + -15 Combine like terms: 0 + -15 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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