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Simplifying 24 = 8w + 5(w + 3) Reorder the terms: 24 = 8w + 5(3 + w) 24 = 8w + (3 * 5 + w * 5) 24 = 8w + (15 + 5w) Reorder the terms: 24 = 15 + 8w + 5w Combine like terms: 8w + 5w = 13w 24 = 15 + 13w Solving 24 = 15 + 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. 24 + -13w = 15 + 13w + -13w Combine like terms: 13w + -13w = 0 24 + -13w = 15 + 0 24 + -13w = 15 Add '-24' to each side of the equation. 24 + -24 + -13w = 15 + -24 Combine like terms: 24 + -24 = 0 0 + -13w = 15 + -24 -13w = 15 + -24 Combine like terms: 15 + -24 = -9 -13w = -9 Divide each side by '-13'. w = 0.6923076923 Simplifying w = 0.6923076923
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