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Simplifying 2(u + -3) + -2 = -3(-8u + 4) + -6u Reorder the terms: 2(-3 + u) + -2 = -3(-8u + 4) + -6u (-3 * 2 + u * 2) + -2 = -3(-8u + 4) + -6u (-6 + 2u) + -2 = -3(-8u + 4) + -6u Reorder the terms: -6 + -2 + 2u = -3(-8u + 4) + -6u Combine like terms: -6 + -2 = -8 -8 + 2u = -3(-8u + 4) + -6u Reorder the terms: -8 + 2u = -3(4 + -8u) + -6u -8 + 2u = (4 * -3 + -8u * -3) + -6u -8 + 2u = (-12 + 24u) + -6u Combine like terms: 24u + -6u = 18u -8 + 2u = -12 + 18u Solving -8 + 2u = -12 + 18u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-18u' to each side of the equation. -8 + 2u + -18u = -12 + 18u + -18u Combine like terms: 2u + -18u = -16u -8 + -16u = -12 + 18u + -18u Combine like terms: 18u + -18u = 0 -8 + -16u = -12 + 0 -8 + -16u = -12 Add '8' to each side of the equation. -8 + 8 + -16u = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -16u = -12 + 8 -16u = -12 + 8 Combine like terms: -12 + 8 = -4 -16u = -4 Divide each side by '-16'. u = 0.25 Simplifying u = 0.25
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