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Simplifying 20 + -1w = -2(5w + -1) Reorder the terms: 20 + -1w = -2(-1 + 5w) 20 + -1w = (-1 * -2 + 5w * -2) 20 + -1w = (2 + -10w) Solving 20 + -1w = 2 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 20 + -1w + 10w = 2 + -10w + 10w Combine like terms: -1w + 10w = 9w 20 + 9w = 2 + -10w + 10w Combine like terms: -10w + 10w = 0 20 + 9w = 2 + 0 20 + 9w = 2 Add '-20' to each side of the equation. 20 + -20 + 9w = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 9w = 2 + -20 9w = 2 + -20 Combine like terms: 2 + -20 = -18 9w = -18 Divide each side by '9'. w = -2 Simplifying w = -2
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