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Simplifying 8w + 43 = 5(w + 8) Reorder the terms: 43 + 8w = 5(w + 8) Reorder the terms: 43 + 8w = 5(8 + w) 43 + 8w = (8 * 5 + w * 5) 43 + 8w = (40 + 5w) Solving 43 + 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. 43 + 8w + -5w = 40 + 5w + -5w Combine like terms: 8w + -5w = 3w 43 + 3w = 40 + 5w + -5w Combine like terms: 5w + -5w = 0 43 + 3w = 40 + 0 43 + 3w = 40 Add '-43' to each side of the equation. 43 + -43 + 3w = 40 + -43 Combine like terms: 43 + -43 = 0 0 + 3w = 40 + -43 3w = 40 + -43 Combine like terms: 40 + -43 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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