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Simplifying 10u + 7 = 6u + -32 + -9 Reorder the terms: 7 + 10u = 6u + -32 + -9 Reorder the terms: 7 + 10u = -32 + -9 + 6u Combine like terms: -32 + -9 = -41 7 + 10u = -41 + 6u Solving 7 + 10u = -41 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 7 + 10u + -6u = -41 + 6u + -6u Combine like terms: 10u + -6u = 4u 7 + 4u = -41 + 6u + -6u Combine like terms: 6u + -6u = 0 7 + 4u = -41 + 0 7 + 4u = -41 Add '-7' to each side of the equation. 7 + -7 + 4u = -41 + -7 Combine like terms: 7 + -7 = 0 0 + 4u = -41 + -7 4u = -41 + -7 Combine like terms: -41 + -7 = -48 4u = -48 Divide each side by '4'. u = -12 Simplifying u = -12
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