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