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Simplifying 21 = 2(w + 3) + 3w Reorder the terms: 21 = 2(3 + w) + 3w 21 = (3 * 2 + w * 2) + 3w 21 = (6 + 2w) + 3w Combine like terms: 2w + 3w = 5w 21 = 6 + 5w Solving 21 = 6 + 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 = 6 + 5w + -5w Combine like terms: 5w + -5w = 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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