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Simplifying -21 = 3(w + 8) + 2w Reorder the terms: -21 = 3(8 + w) + 2w -21 = (8 * 3 + w * 3) + 2w -21 = (24 + 3w) + 2w Combine like terms: 3w + 2w = 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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