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Simplifying 10u + 71 = 19u + -100 Reorder the terms: 71 + 10u = 19u + -100 Reorder the terms: 71 + 10u = -100 + 19u Solving 71 + 10u = -100 + 19u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-19u' to each side of the equation. 71 + 10u + -19u = -100 + 19u + -19u Combine like terms: 10u + -19u = -9u 71 + -9u = -100 + 19u + -19u Combine like terms: 19u + -19u = 0 71 + -9u = -100 + 0 71 + -9u = -100 Add '-71' to each side of the equation. 71 + -71 + -9u = -100 + -71 Combine like terms: 71 + -71 = 0 0 + -9u = -100 + -71 -9u = -100 + -71 Combine like terms: -100 + -71 = -171 -9u = -171 Divide each side by '-9'. u = 19 Simplifying u = 19
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