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