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Simplifying -2(u + 6) = -3(8u + -2) + 7u Reorder the terms: -2(6 + u) = -3(8u + -2) + 7u (6 * -2 + u * -2) = -3(8u + -2) + 7u (-12 + -2u) = -3(8u + -2) + 7u Reorder the terms: -12 + -2u = -3(-2 + 8u) + 7u -12 + -2u = (-2 * -3 + 8u * -3) + 7u -12 + -2u = (6 + -24u) + 7u Combine like terms: -24u + 7u = -17u -12 + -2u = 6 + -17u Solving -12 + -2u = 6 + -17u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '17u' to each side of the equation. -12 + -2u + 17u = 6 + -17u + 17u Combine like terms: -2u + 17u = 15u -12 + 15u = 6 + -17u + 17u Combine like terms: -17u + 17u = 0 -12 + 15u = 6 + 0 -12 + 15u = 6 Add '12' to each side of the equation. -12 + 12 + 15u = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 15u = 6 + 12 15u = 6 + 12 Combine like terms: 6 + 12 = 18 15u = 18 Divide each side by '15'. u = 1.2 Simplifying u = 1.2
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