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Simplifying 29 = 2(w + 7) + 3w Reorder the terms: 29 = 2(7 + w) + 3w 29 = (7 * 2 + w * 2) + 3w 29 = (14 + 2w) + 3w Combine like terms: 2w + 3w = 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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