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Simplifying 2(u + -3) + -6 = -2(-2u + 7) + -8u Reorder the terms: 2(-3 + u) + -6 = -2(-2u + 7) + -8u (-3 * 2 + u * 2) + -6 = -2(-2u + 7) + -8u (-6 + 2u) + -6 = -2(-2u + 7) + -8u Reorder the terms: -6 + -6 + 2u = -2(-2u + 7) + -8u Combine like terms: -6 + -6 = -12 -12 + 2u = -2(-2u + 7) + -8u Reorder the terms: -12 + 2u = -2(7 + -2u) + -8u -12 + 2u = (7 * -2 + -2u * -2) + -8u -12 + 2u = (-14 + 4u) + -8u Combine like terms: 4u + -8u = -4u -12 + 2u = -14 + -4u Solving -12 + 2u = -14 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. -12 + 2u + 4u = -14 + -4u + 4u Combine like terms: 2u + 4u = 6u -12 + 6u = -14 + -4u + 4u Combine like terms: -4u + 4u = 0 -12 + 6u = -14 + 0 -12 + 6u = -14 Add '12' to each side of the equation. -12 + 12 + 6u = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 6u = -14 + 12 6u = -14 + 12 Combine like terms: -14 + 12 = -2 6u = -2 Divide each side by '6'. u = -0.3333333333 Simplifying u = -0.3333333333
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