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Simplifying 35 = 8w + 5(w + 4) Reorder the terms: 35 = 8w + 5(4 + w) 35 = 8w + (4 * 5 + w * 5) 35 = 8w + (20 + 5w) Reorder the terms: 35 = 20 + 8w + 5w Combine like terms: 8w + 5w = 13w 35 = 20 + 13w Solving 35 = 20 + 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. 35 + -13w = 20 + 13w + -13w Combine like terms: 13w + -13w = 0 35 + -13w = 20 + 0 35 + -13w = 20 Add '-35' to each side of the equation. 35 + -35 + -13w = 20 + -35 Combine like terms: 35 + -35 = 0 0 + -13w = 20 + -35 -13w = 20 + -35 Combine like terms: 20 + -35 = -15 -13w = -15 Divide each side by '-13'. w = 1.153846154 Simplifying w = 1.153846154
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