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Simplifying -5(w + 6) = -7w + -24 Reorder the terms: -5(6 + w) = -7w + -24 (6 * -5 + w * -5) = -7w + -24 (-30 + -5w) = -7w + -24 Reorder the terms: -30 + -5w = -24 + -7w Solving -30 + -5w = -24 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -30 + -5w + 7w = -24 + -7w + 7w Combine like terms: -5w + 7w = 2w -30 + 2w = -24 + -7w + 7w Combine like terms: -7w + 7w = 0 -30 + 2w = -24 + 0 -30 + 2w = -24 Add '30' to each side of the equation. -30 + 30 + 2w = -24 + 30 Combine like terms: -30 + 30 = 0 0 + 2w = -24 + 30 2w = -24 + 30 Combine like terms: -24 + 30 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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