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Simplifying 10u + 7 = 16u + -12 + -9 Reorder the terms: 7 + 10u = 16u + -12 + -9 Reorder the terms: 7 + 10u = -12 + -9 + 16u Combine like terms: -12 + -9 = -21 7 + 10u = -21 + 16u Solving 7 + 10u = -21 + 16u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16u' to each side of the equation. 7 + 10u + -16u = -21 + 16u + -16u Combine like terms: 10u + -16u = -6u 7 + -6u = -21 + 16u + -16u Combine like terms: 16u + -16u = 0 7 + -6u = -21 + 0 7 + -6u = -21 Add '-7' to each side of the equation. 7 + -7 + -6u = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -6u = -21 + -7 -6u = -21 + -7 Combine like terms: -21 + -7 = -28 -6u = -28 Divide each side by '-6'. u = 4.666666667 Simplifying u = 4.666666667
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