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Simplifying -21 = 3(w + 8) + -8w Reorder the terms: -21 = 3(8 + w) + -8w -21 = (8 * 3 + w * 3) + -8w -21 = (24 + 3w) + -8w Combine like terms: 3w + -8w = -5w -21 = 24 + -5w Solving -21 = 24 + -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. -21 + 5w = 24 + -5w + 5w Combine like terms: -5w + 5w = 0 -21 + 5w = 24 + 0 -21 + 5w = 24 Add '21' to each side of the equation. -21 + 21 + 5w = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 5w = 24 + 21 5w = 24 + 21 Combine like terms: 24 + 21 = 45 5w = 45 Divide each side by '5'. w = 9 Simplifying w = 9
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