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Simplifying 7(w + 3) = -29 + 2w Reorder the terms: 7(3 + w) = -29 + 2w (3 * 7 + w * 7) = -29 + 2w (21 + 7w) = -29 + 2w Solving 21 + 7w = -29 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 21 + 7w + -2w = -29 + 2w + -2w Combine like terms: 7w + -2w = 5w 21 + 5w = -29 + 2w + -2w Combine like terms: 2w + -2w = 0 21 + 5w = -29 + 0 21 + 5w = -29 Add '-21' to each side of the equation. 21 + -21 + 5w = -29 + -21 Combine like terms: 21 + -21 = 0 0 + 5w = -29 + -21 5w = -29 + -21 Combine like terms: -29 + -21 = -50 5w = -50 Divide each side by '5'. w = -10 Simplifying w = -10
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