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Simplifying 29 = 3w + 2(w + 7) Reorder the terms: 29 = 3w + 2(7 + w) 29 = 3w + (7 * 2 + w * 2) 29 = 3w + (14 + 2w) Reorder the terms: 29 = 14 + 3w + 2w Combine like terms: 3w + 2w = 5w 29 = 14 + 5w Solving 29 = 14 + 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. 29 + -5w = 14 + 5w + -5w Combine like terms: 5w + -5w = 0 29 + -5w = 14 + 0 29 + -5w = 14 Add '-29' to each side of the equation. 29 + -29 + -5w = 14 + -29 Combine like terms: 29 + -29 = 0 0 + -5w = 14 + -29 -5w = 14 + -29 Combine like terms: 14 + -29 = -15 -5w = -15 Divide each side by '-5'. w = 3 Simplifying w = 3
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