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Simplifying -21 = -8w + 3(w + 3) Reorder the terms: -21 = -8w + 3(3 + w) -21 = -8w + (3 * 3 + w * 3) -21 = -8w + (9 + 3w) Reorder the terms: -21 = 9 + -8w + 3w Combine like terms: -8w + 3w = -5w -21 = 9 + -5w Solving -21 = 9 + -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 = 9 + -5w + 5w Combine like terms: -5w + 5w = 0 -21 + 5w = 9 + 0 -21 + 5w = 9 Add '21' to each side of the equation. -21 + 21 + 5w = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 5w = 9 + 21 5w = 9 + 21 Combine like terms: 9 + 21 = 30 5w = 30 Divide each side by '5'. w = 6 Simplifying w = 6
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