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Simplifying -5(10u + -17) + -8u = -13 + -19u + -19 Reorder the terms: -5(-17 + 10u) + -8u = -13 + -19u + -19 (-17 * -5 + 10u * -5) + -8u = -13 + -19u + -19 (85 + -50u) + -8u = -13 + -19u + -19 Combine like terms: -50u + -8u = -58u 85 + -58u = -13 + -19u + -19 Reorder the terms: 85 + -58u = -13 + -19 + -19u Combine like terms: -13 + -19 = -32 85 + -58u = -32 + -19u Solving 85 + -58u = -32 + -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. 85 + -58u + 19u = -32 + -19u + 19u Combine like terms: -58u + 19u = -39u 85 + -39u = -32 + -19u + 19u Combine like terms: -19u + 19u = 0 85 + -39u = -32 + 0 85 + -39u = -32 Add '-85' to each side of the equation. 85 + -85 + -39u = -32 + -85 Combine like terms: 85 + -85 = 0 0 + -39u = -32 + -85 -39u = -32 + -85 Combine like terms: -32 + -85 = -117 -39u = -117 Divide each side by '-39'. u = 3 Simplifying u = 3
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