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Simplifying 17 + 9(-5u + 16) = -16u + -9 + -19u Reorder the terms: 17 + 9(16 + -5u) = -16u + -9 + -19u 17 + (16 * 9 + -5u * 9) = -16u + -9 + -19u 17 + (144 + -45u) = -16u + -9 + -19u Combine like terms: 17 + 144 = 161 161 + -45u = -16u + -9 + -19u Reorder the terms: 161 + -45u = -9 + -16u + -19u Combine like terms: -16u + -19u = -35u 161 + -45u = -9 + -35u Solving 161 + -45u = -9 + -35u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '35u' to each side of the equation. 161 + -45u + 35u = -9 + -35u + 35u Combine like terms: -45u + 35u = -10u 161 + -10u = -9 + -35u + 35u Combine like terms: -35u + 35u = 0 161 + -10u = -9 + 0 161 + -10u = -9 Add '-161' to each side of the equation. 161 + -161 + -10u = -9 + -161 Combine like terms: 161 + -161 = 0 0 + -10u = -9 + -161 -10u = -9 + -161 Combine like terms: -9 + -161 = -170 -10u = -170 Divide each side by '-10'. u = 17 Simplifying u = 17
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