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Simplifying 8(w + -2) = 5w + 24 Reorder the terms: 8(-2 + w) = 5w + 24 (-2 * 8 + w * 8) = 5w + 24 (-16 + 8w) = 5w + 24 Reorder the terms: -16 + 8w = 24 + 5w Solving -16 + 8w = 24 + 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. -16 + 8w + -5w = 24 + 5w + -5w Combine like terms: 8w + -5w = 3w -16 + 3w = 24 + 5w + -5w Combine like terms: 5w + -5w = 0 -16 + 3w = 24 + 0 -16 + 3w = 24 Add '16' to each side of the equation. -16 + 16 + 3w = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 3w = 24 + 16 3w = 24 + 16 Combine like terms: 24 + 16 = 40 3w = 40 Divide each side by '3'. w = 13.33333333 Simplifying w = 13.33333333
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