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Simplifying 5w + 10 + -2(2w + -5) = 0 Reorder the terms: 5w + 10 + -2(-5 + 2w) = 0 5w + 10 + (-5 * -2 + 2w * -2) = 0 5w + 10 + (10 + -4w) = 0 Reorder the terms: 10 + 10 + 5w + -4w = 0 Combine like terms: 10 + 10 = 20 20 + 5w + -4w = 0 Combine like terms: 5w + -4w = 1w 20 + 1w = 0 Solving 20 + 1w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 1w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 1w = 0 + -20 1w = 0 + -20 Combine like terms: 0 + -20 = -20 1w = -20 Divide each side by '1'. w = -20 Simplifying w = -20
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