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