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Simplifying 5(5u + 3) + -2(3u + -6) = 160 Reorder the terms: 5(3 + 5u) + -2(3u + -6) = 160 (3 * 5 + 5u * 5) + -2(3u + -6) = 160 (15 + 25u) + -2(3u + -6) = 160 Reorder the terms: 15 + 25u + -2(-6 + 3u) = 160 15 + 25u + (-6 * -2 + 3u * -2) = 160 15 + 25u + (12 + -6u) = 160 Reorder the terms: 15 + 12 + 25u + -6u = 160 Combine like terms: 15 + 12 = 27 27 + 25u + -6u = 160 Combine like terms: 25u + -6u = 19u 27 + 19u = 160 Solving 27 + 19u = 160 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 19u = 160 + -27 Combine like terms: 27 + -27 = 0 0 + 19u = 160 + -27 19u = 160 + -27 Combine like terms: 160 + -27 = 133 19u = 133 Divide each side by '19'. u = 7 Simplifying u = 7
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