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Simplifying 6u + -43 = 10u + -71 Reorder the terms: -43 + 6u = 10u + -71 Reorder the terms: -43 + 6u = -71 + 10u Solving -43 + 6u = -71 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. -43 + 6u + -10u = -71 + 10u + -10u Combine like terms: 6u + -10u = -4u -43 + -4u = -71 + 10u + -10u Combine like terms: 10u + -10u = 0 -43 + -4u = -71 + 0 -43 + -4u = -71 Add '43' to each side of the equation. -43 + 43 + -4u = -71 + 43 Combine like terms: -43 + 43 = 0 0 + -4u = -71 + 43 -4u = -71 + 43 Combine like terms: -71 + 43 = -28 -4u = -28 Divide each side by '-4'. u = 7 Simplifying u = 7
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