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Simplifying -29 = 3(w + 2) + -8w Reorder the terms: -29 = 3(2 + w) + -8w -29 = (2 * 3 + w * 3) + -8w -29 = (6 + 3w) + -8w Combine like terms: 3w + -8w = -5w -29 = 6 + -5w Solving -29 = 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. -29 + 5w = 6 + -5w + 5w Combine like terms: -5w + 5w = 0 -29 + 5w = 6 + 0 -29 + 5w = 6 Add '29' to each side of the equation. -29 + 29 + 5w = 6 + 29 Combine like terms: -29 + 29 = 0 0 + 5w = 6 + 29 5w = 6 + 29 Combine like terms: 6 + 29 = 35 5w = 35 Divide each side by '5'. w = 7 Simplifying w = 7
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