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Simplifying 8w + 19 = 5(w + 8) Reorder the terms: 19 + 8w = 5(w + 8) Reorder the terms: 19 + 8w = 5(8 + w) 19 + 8w = (8 * 5 + w * 5) 19 + 8w = (40 + 5w) Solving 19 + 8w = 40 + 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. 19 + 8w + -5w = 40 + 5w + -5w Combine like terms: 8w + -5w = 3w 19 + 3w = 40 + 5w + -5w Combine like terms: 5w + -5w = 0 19 + 3w = 40 + 0 19 + 3w = 40 Add '-19' to each side of the equation. 19 + -19 + 3w = 40 + -19 Combine like terms: 19 + -19 = 0 0 + 3w = 40 + -19 3w = 40 + -19 Combine like terms: 40 + -19 = 21 3w = 21 Divide each side by '3'. w = 7 Simplifying w = 7
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