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Simplifying 5(u + -2) + 6 = 18 + -6u Reorder the terms: 5(-2 + u) + 6 = 18 + -6u (-2 * 5 + u * 5) + 6 = 18 + -6u (-10 + 5u) + 6 = 18 + -6u Reorder the terms: -10 + 6 + 5u = 18 + -6u Combine like terms: -10 + 6 = -4 -4 + 5u = 18 + -6u Solving -4 + 5u = 18 + -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. -4 + 5u + 6u = 18 + -6u + 6u Combine like terms: 5u + 6u = 11u -4 + 11u = 18 + -6u + 6u Combine like terms: -6u + 6u = 0 -4 + 11u = 18 + 0 -4 + 11u = 18 Add '4' to each side of the equation. -4 + 4 + 11u = 18 + 4 Combine like terms: -4 + 4 = 0 0 + 11u = 18 + 4 11u = 18 + 4 Combine like terms: 18 + 4 = 22 11u = 22 Divide each side by '11'. u = 2 Simplifying u = 2
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