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Simplifying 29 = 2w + 3(w + 8) Reorder the terms: 29 = 2w + 3(8 + w) 29 = 2w + (8 * 3 + w * 3) 29 = 2w + (24 + 3w) Reorder the terms: 29 = 24 + 2w + 3w Combine like terms: 2w + 3w = 5w 29 = 24 + 5w Solving 29 = 24 + 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 = 24 + 5w + -5w Combine like terms: 5w + -5w = 0 29 + -5w = 24 + 0 29 + -5w = 24 Add '-29' to each side of the equation. 29 + -29 + -5w = 24 + -29 Combine like terms: 29 + -29 = 0 0 + -5w = 24 + -29 -5w = 24 + -29 Combine like terms: 24 + -29 = -5 -5w = -5 Divide each side by '-5'. w = 1 Simplifying w = 1
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