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Simplifying -3(w + 8) = -5w + -12 Reorder the terms: -3(8 + w) = -5w + -12 (8 * -3 + w * -3) = -5w + -12 (-24 + -3w) = -5w + -12 Reorder the terms: -24 + -3w = -12 + -5w Solving -24 + -3w = -12 + -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 + -3w + 5w = -12 + -5w + 5w Combine like terms: -3w + 5w = 2w -24 + 2w = -12 + -5w + 5w Combine like terms: -5w + 5w = 0 -24 + 2w = -12 + 0 -24 + 2w = -12 Add '24' to each side of the equation. -24 + 24 + 2w = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 2w = -12 + 24 2w = -12 + 24 Combine like terms: -12 + 24 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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