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Simplifying 8(w + -3) = 5w + -9 Reorder the terms: 8(-3 + w) = 5w + -9 (-3 * 8 + w * 8) = 5w + -9 (-24 + 8w) = 5w + -9 Reorder the terms: -24 + 8w = -9 + 5w Solving -24 + 8w = -9 + 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. -24 + 8w + -5w = -9 + 5w + -5w Combine like terms: 8w + -5w = 3w -24 + 3w = -9 + 5w + -5w Combine like terms: 5w + -5w = 0 -24 + 3w = -9 + 0 -24 + 3w = -9 Add '24' to each side of the equation. -24 + 24 + 3w = -9 + 24 Combine like terms: -24 + 24 = 0 0 + 3w = -9 + 24 3w = -9 + 24 Combine like terms: -9 + 24 = 15 3w = 15 Divide each side by '3'. w = 5 Simplifying w = 5
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