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Simplifying 4u + -4 + 28 = 10u + -15 Reorder the terms: -4 + 28 + 4u = 10u + -15 Combine like terms: -4 + 28 = 24 24 + 4u = 10u + -15 Reorder the terms: 24 + 4u = -15 + 10u Solving 24 + 4u = -15 + 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. 24 + 4u + -10u = -15 + 10u + -10u Combine like terms: 4u + -10u = -6u 24 + -6u = -15 + 10u + -10u Combine like terms: 10u + -10u = 0 24 + -6u = -15 + 0 24 + -6u = -15 Add '-24' to each side of the equation. 24 + -24 + -6u = -15 + -24 Combine like terms: 24 + -24 = 0 0 + -6u = -15 + -24 -6u = -15 + -24 Combine like terms: -15 + -24 = -39 -6u = -39 Divide each side by '-6'. u = 6.5 Simplifying u = 6.5
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