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Simplifying 22(w + 10) = 506 Reorder the terms: 22(10 + w) = 506 (10 * 22 + w * 22) = 506 (220 + 22w) = 506 Solving 220 + 22w = 506 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-220' to each side of the equation. 220 + -220 + 22w = 506 + -220 Combine like terms: 220 + -220 = 0 0 + 22w = 506 + -220 22w = 506 + -220 Combine like terms: 506 + -220 = 286 22w = 286 Divide each side by '22'. w = 13 Simplifying w = 13
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