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Simplifying 4(u + -5) + -8 = -2(-8u + 9) + -6u Reorder the terms: 4(-5 + u) + -8 = -2(-8u + 9) + -6u (-5 * 4 + u * 4) + -8 = -2(-8u + 9) + -6u (-20 + 4u) + -8 = -2(-8u + 9) + -6u Reorder the terms: -20 + -8 + 4u = -2(-8u + 9) + -6u Combine like terms: -20 + -8 = -28 -28 + 4u = -2(-8u + 9) + -6u Reorder the terms: -28 + 4u = -2(9 + -8u) + -6u -28 + 4u = (9 * -2 + -8u * -2) + -6u -28 + 4u = (-18 + 16u) + -6u Combine like terms: 16u + -6u = 10u -28 + 4u = -18 + 10u Solving -28 + 4u = -18 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. -28 + 4u + -10u = -18 + 10u + -10u Combine like terms: 4u + -10u = -6u -28 + -6u = -18 + 10u + -10u Combine like terms: 10u + -10u = 0 -28 + -6u = -18 + 0 -28 + -6u = -18 Add '28' to each side of the equation. -28 + 28 + -6u = -18 + 28 Combine like terms: -28 + 28 = 0 0 + -6u = -18 + 28 -6u = -18 + 28 Combine like terms: -18 + 28 = 10 -6u = 10 Divide each side by '-6'. u = -1.666666667 Simplifying u = -1.666666667
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