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