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Simplifying 6(u + -9) + -2 = -6(-4u + 8) + -6u Reorder the terms: 6(-9 + u) + -2 = -6(-4u + 8) + -6u (-9 * 6 + u * 6) + -2 = -6(-4u + 8) + -6u (-54 + 6u) + -2 = -6(-4u + 8) + -6u Reorder the terms: -54 + -2 + 6u = -6(-4u + 8) + -6u Combine like terms: -54 + -2 = -56 -56 + 6u = -6(-4u + 8) + -6u Reorder the terms: -56 + 6u = -6(8 + -4u) + -6u -56 + 6u = (8 * -6 + -4u * -6) + -6u -56 + 6u = (-48 + 24u) + -6u Combine like terms: 24u + -6u = 18u -56 + 6u = -48 + 18u Solving -56 + 6u = -48 + 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. -56 + 6u + -18u = -48 + 18u + -18u Combine like terms: 6u + -18u = -12u -56 + -12u = -48 + 18u + -18u Combine like terms: 18u + -18u = 0 -56 + -12u = -48 + 0 -56 + -12u = -48 Add '56' to each side of the equation. -56 + 56 + -12u = -48 + 56 Combine like terms: -56 + 56 = 0 0 + -12u = -48 + 56 -12u = -48 + 56 Combine like terms: -48 + 56 = 8 -12u = 8 Divide each side by '-12'. u = -0.6666666667 Simplifying u = -0.6666666667
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