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Simplifying 3(w + 7) = -5w + 37 Reorder the terms: 3(7 + w) = -5w + 37 (7 * 3 + w * 3) = -5w + 37 (21 + 3w) = -5w + 37 Reorder the terms: 21 + 3w = 37 + -5w Solving 21 + 3w = 37 + -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. 21 + 3w + 5w = 37 + -5w + 5w Combine like terms: 3w + 5w = 8w 21 + 8w = 37 + -5w + 5w Combine like terms: -5w + 5w = 0 21 + 8w = 37 + 0 21 + 8w = 37 Add '-21' to each side of the equation. 21 + -21 + 8w = 37 + -21 Combine like terms: 21 + -21 = 0 0 + 8w = 37 + -21 8w = 37 + -21 Combine like terms: 37 + -21 = 16 8w = 16 Divide each side by '8'. w = 2 Simplifying w = 2
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