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Simplifying -6(u + 1) = -3(9u + -2) + 6u Reorder the terms: -6(1 + u) = -3(9u + -2) + 6u (1 * -6 + u * -6) = -3(9u + -2) + 6u (-6 + -6u) = -3(9u + -2) + 6u Reorder the terms: -6 + -6u = -3(-2 + 9u) + 6u -6 + -6u = (-2 * -3 + 9u * -3) + 6u -6 + -6u = (6 + -27u) + 6u Combine like terms: -27u + 6u = -21u -6 + -6u = 6 + -21u Solving -6 + -6u = 6 + -21u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '21u' to each side of the equation. -6 + -6u + 21u = 6 + -21u + 21u Combine like terms: -6u + 21u = 15u -6 + 15u = 6 + -21u + 21u Combine like terms: -21u + 21u = 0 -6 + 15u = 6 + 0 -6 + 15u = 6 Add '6' to each side of the equation. -6 + 6 + 15u = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 15u = 6 + 6 15u = 6 + 6 Combine like terms: 6 + 6 = 12 15u = 12 Divide each side by '15'. u = 0.8 Simplifying u = 0.8
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