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Simplifying -16(10u + -90) = 32(8u + 71) Reorder the terms: -16(-90 + 10u) = 32(8u + 71) (-90 * -16 + 10u * -16) = 32(8u + 71) (1440 + -160u) = 32(8u + 71) Reorder the terms: 1440 + -160u = 32(71 + 8u) 1440 + -160u = (71 * 32 + 8u * 32) 1440 + -160u = (2272 + 256u) Solving 1440 + -160u = 2272 + 256u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-256u' to each side of the equation. 1440 + -160u + -256u = 2272 + 256u + -256u Combine like terms: -160u + -256u = -416u 1440 + -416u = 2272 + 256u + -256u Combine like terms: 256u + -256u = 0 1440 + -416u = 2272 + 0 1440 + -416u = 2272 Add '-1440' to each side of the equation. 1440 + -1440 + -416u = 2272 + -1440 Combine like terms: 1440 + -1440 = 0 0 + -416u = 2272 + -1440 -416u = 2272 + -1440 Combine like terms: 2272 + -1440 = 832 -416u = 832 Divide each side by '-416'. u = -2 Simplifying u = -2
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