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Simplifying 8w + 21 = 3(w + 2) Reorder the terms: 21 + 8w = 3(w + 2) Reorder the terms: 21 + 8w = 3(2 + w) 21 + 8w = (2 * 3 + w * 3) 21 + 8w = (6 + 3w) Solving 21 + 8w = 6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 21 + 8w + -3w = 6 + 3w + -3w Combine like terms: 8w + -3w = 5w 21 + 5w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 21 + 5w = 6 + 0 21 + 5w = 6 Add '-21' to each side of the equation. 21 + -21 + 5w = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 5w = 6 + -21 5w = 6 + -21 Combine like terms: 6 + -21 = -15 5w = -15 Divide each side by '5'. w = -3 Simplifying w = -3
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