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Simplifying 4(u + -3) + -8 = -6(-5u + 6) + -8u Reorder the terms: 4(-3 + u) + -8 = -6(-5u + 6) + -8u (-3 * 4 + u * 4) + -8 = -6(-5u + 6) + -8u (-12 + 4u) + -8 = -6(-5u + 6) + -8u Reorder the terms: -12 + -8 + 4u = -6(-5u + 6) + -8u Combine like terms: -12 + -8 = -20 -20 + 4u = -6(-5u + 6) + -8u Reorder the terms: -20 + 4u = -6(6 + -5u) + -8u -20 + 4u = (6 * -6 + -5u * -6) + -8u -20 + 4u = (-36 + 30u) + -8u Combine like terms: 30u + -8u = 22u -20 + 4u = -36 + 22u Solving -20 + 4u = -36 + 22u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-22u' to each side of the equation. -20 + 4u + -22u = -36 + 22u + -22u Combine like terms: 4u + -22u = -18u -20 + -18u = -36 + 22u + -22u Combine like terms: 22u + -22u = 0 -20 + -18u = -36 + 0 -20 + -18u = -36 Add '20' to each side of the equation. -20 + 20 + -18u = -36 + 20 Combine like terms: -20 + 20 = 0 0 + -18u = -36 + 20 -18u = -36 + 20 Combine like terms: -36 + 20 = -16 -18u = -16 Divide each side by '-18'. u = 0.8888888889 Simplifying u = 0.8888888889
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