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Simplifying 5(w + 2) = 2w + 1 Reorder the terms: 5(2 + w) = 2w + 1 (2 * 5 + w * 5) = 2w + 1 (10 + 5w) = 2w + 1 Reorder the terms: 10 + 5w = 1 + 2w Solving 10 + 5w = 1 + 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. 10 + 5w + -2w = 1 + 2w + -2w Combine like terms: 5w + -2w = 3w 10 + 3w = 1 + 2w + -2w Combine like terms: 2w + -2w = 0 10 + 3w = 1 + 0 10 + 3w = 1 Add '-10' to each side of the equation. 10 + -10 + 3w = 1 + -10 Combine like terms: 10 + -10 = 0 0 + 3w = 1 + -10 3w = 1 + -10 Combine like terms: 1 + -10 = -9 3w = -9 Divide each side by '3'. w = -3 Simplifying w = -3
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