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Simplifying 7w + 30 = 5(w + 2) Reorder the terms: 30 + 7w = 5(w + 2) Reorder the terms: 30 + 7w = 5(2 + w) 30 + 7w = (2 * 5 + w * 5) 30 + 7w = (10 + 5w) Solving 30 + 7w = 10 + 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. 30 + 7w + -5w = 10 + 5w + -5w Combine like terms: 7w + -5w = 2w 30 + 2w = 10 + 5w + -5w Combine like terms: 5w + -5w = 0 30 + 2w = 10 + 0 30 + 2w = 10 Add '-30' to each side of the equation. 30 + -30 + 2w = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 2w = 10 + -30 2w = 10 + -30 Combine like terms: 10 + -30 = -20 2w = -20 Divide each side by '2'. w = -10 Simplifying w = -10
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