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Simplifying 2(2w + 1) = 5w + -2(5 + w) Reorder the terms: 2(1 + 2w) = 5w + -2(5 + w) (1 * 2 + 2w * 2) = 5w + -2(5 + w) (2 + 4w) = 5w + -2(5 + w) 2 + 4w = 5w + (5 * -2 + w * -2) 2 + 4w = 5w + (-10 + -2w) Reorder the terms: 2 + 4w = -10 + 5w + -2w Combine like terms: 5w + -2w = 3w 2 + 4w = -10 + 3w Solving 2 + 4w = -10 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 2 + 4w + -3w = -10 + 3w + -3w Combine like terms: 4w + -3w = 1w 2 + 1w = -10 + 3w + -3w Combine like terms: 3w + -3w = 0 2 + 1w = -10 + 0 2 + 1w = -10 Add '-2' to each side of the equation. 2 + -2 + 1w = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 1w = -10 + -2 1w = -10 + -2 Combine like terms: -10 + -2 = -12 1w = -12 Divide each side by '1'. w = -12 Simplifying w = -12
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