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Simplifying -7(w + -3) = 8w + -24 Reorder the terms: -7(-3 + w) = 8w + -24 (-3 * -7 + w * -7) = 8w + -24 (21 + -7w) = 8w + -24 Reorder the terms: 21 + -7w = -24 + 8w Solving 21 + -7w = -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. 21 + -7w + -8w = -24 + 8w + -8w Combine like terms: -7w + -8w = -15w 21 + -15w = -24 + 8w + -8w Combine like terms: 8w + -8w = 0 21 + -15w = -24 + 0 21 + -15w = -24 Add '-21' to each side of the equation. 21 + -21 + -15w = -24 + -21 Combine like terms: 21 + -21 = 0 0 + -15w = -24 + -21 -15w = -24 + -21 Combine like terms: -24 + -21 = -45 -15w = -45 Divide each side by '-15'. w = 3 Simplifying w = 3
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