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Simplifying 19 = 5(w + 2) + -8w Reorder the terms: 19 = 5(2 + w) + -8w 19 = (2 * 5 + w * 5) + -8w 19 = (10 + 5w) + -8w Combine like terms: 5w + -8w = -3w 19 = 10 + -3w Solving 19 = 10 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 19 + 3w = 10 + -3w + 3w Combine like terms: -3w + 3w = 0 19 + 3w = 10 + 0 19 + 3w = 10 Add '-19' to each side of the equation. 19 + -19 + 3w = 10 + -19 Combine like terms: 19 + -19 = 0 0 + 3w = 10 + -19 3w = 10 + -19 Combine like terms: 10 + -19 = -9 3w = -9 Divide each side by '3'. w = -3 Simplifying w = -3
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