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Simplifying -5(w + 6) = -8w + -24 Reorder the terms: -5(6 + w) = -8w + -24 (6 * -5 + w * -5) = -8w + -24 (-30 + -5w) = -8w + -24 Reorder the terms: -30 + -5w = -24 + -8w Solving -30 + -5w = -24 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -30 + -5w + 8w = -24 + -8w + 8w Combine like terms: -5w + 8w = 3w -30 + 3w = -24 + -8w + 8w Combine like terms: -8w + 8w = 0 -30 + 3w = -24 + 0 -30 + 3w = -24 Add '30' to each side of the equation. -30 + 30 + 3w = -24 + 30 Combine like terms: -30 + 30 = 0 0 + 3w = -24 + 30 3w = -24 + 30 Combine like terms: -24 + 30 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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