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Simplifying 20 + -2(2w + 1) = 5w + -2(5 + w) Reorder the terms: 20 + -2(1 + 2w) = 5w + -2(5 + w) 20 + (1 * -2 + 2w * -2) = 5w + -2(5 + w) 20 + (-2 + -4w) = 5w + -2(5 + w) Combine like terms: 20 + -2 = 18 18 + -4w = 5w + -2(5 + w) 18 + -4w = 5w + (5 * -2 + w * -2) 18 + -4w = 5w + (-10 + -2w) Reorder the terms: 18 + -4w = -10 + 5w + -2w Combine like terms: 5w + -2w = 3w 18 + -4w = -10 + 3w Solving 18 + -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. 18 + -4w + -3w = -10 + 3w + -3w Combine like terms: -4w + -3w = -7w 18 + -7w = -10 + 3w + -3w Combine like terms: 3w + -3w = 0 18 + -7w = -10 + 0 18 + -7w = -10 Add '-18' to each side of the equation. 18 + -18 + -7w = -10 + -18 Combine like terms: 18 + -18 = 0 0 + -7w = -10 + -18 -7w = -10 + -18 Combine like terms: -10 + -18 = -28 -7w = -28 Divide each side by '-7'. w = 4 Simplifying w = 4
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