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Simplifying 29 = 7(w + -3) + -2w Reorder the terms: 29 = 7(-3 + w) + -2w 29 = (-3 * 7 + w * 7) + -2w 29 = (-21 + 7w) + -2w Combine like terms: 7w + -2w = 5w 29 = -21 + 5w Solving 29 = -21 + 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 = -21 + 5w + -5w Combine like terms: 5w + -5w = 0 29 + -5w = -21 + 0 29 + -5w = -21 Add '-29' to each side of the equation. 29 + -29 + -5w = -21 + -29 Combine like terms: 29 + -29 = 0 0 + -5w = -21 + -29 -5w = -21 + -29 Combine like terms: -21 + -29 = -50 -5w = -50 Divide each side by '-5'. w = 10 Simplifying w = 10
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