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Simplifying 5(w + 7) = 7w + 29 Reorder the terms: 5(7 + w) = 7w + 29 (7 * 5 + w * 5) = 7w + 29 (35 + 5w) = 7w + 29 Reorder the terms: 35 + 5w = 29 + 7w Solving 35 + 5w = 29 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 35 + 5w + -7w = 29 + 7w + -7w Combine like terms: 5w + -7w = -2w 35 + -2w = 29 + 7w + -7w Combine like terms: 7w + -7w = 0 35 + -2w = 29 + 0 35 + -2w = 29 Add '-35' to each side of the equation. 35 + -35 + -2w = 29 + -35 Combine like terms: 35 + -35 = 0 0 + -2w = 29 + -35 -2w = 29 + -35 Combine like terms: 29 + -35 = -6 -2w = -6 Divide each side by '-2'. w = 3 Simplifying w = 3
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