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Simplifying -24 = 6(w + -3) + -8w Reorder the terms: -24 = 6(-3 + w) + -8w -24 = (-3 * 6 + w * 6) + -8w -24 = (-18 + 6w) + -8w Combine like terms: 6w + -8w = -2w -24 = -18 + -2w Solving -24 = -18 + -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 = -18 + -2w + 2w Combine like terms: -2w + 2w = 0 -24 + 2w = -18 + 0 -24 + 2w = -18 Add '24' to each side of the equation. -24 + 24 + 2w = -18 + 24 Combine like terms: -24 + 24 = 0 0 + 2w = -18 + 24 2w = -18 + 24 Combine like terms: -18 + 24 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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