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Simplifying 6(u + -3) + -8 = -5(-4u + 4) + -5u Reorder the terms: 6(-3 + u) + -8 = -5(-4u + 4) + -5u (-3 * 6 + u * 6) + -8 = -5(-4u + 4) + -5u (-18 + 6u) + -8 = -5(-4u + 4) + -5u Reorder the terms: -18 + -8 + 6u = -5(-4u + 4) + -5u Combine like terms: -18 + -8 = -26 -26 + 6u = -5(-4u + 4) + -5u Reorder the terms: -26 + 6u = -5(4 + -4u) + -5u -26 + 6u = (4 * -5 + -4u * -5) + -5u -26 + 6u = (-20 + 20u) + -5u Combine like terms: 20u + -5u = 15u -26 + 6u = -20 + 15u Solving -26 + 6u = -20 + 15u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15u' to each side of the equation. -26 + 6u + -15u = -20 + 15u + -15u Combine like terms: 6u + -15u = -9u -26 + -9u = -20 + 15u + -15u Combine like terms: 15u + -15u = 0 -26 + -9u = -20 + 0 -26 + -9u = -20 Add '26' to each side of the equation. -26 + 26 + -9u = -20 + 26 Combine like terms: -26 + 26 = 0 0 + -9u = -20 + 26 -9u = -20 + 26 Combine like terms: -20 + 26 = 6 -9u = 6 Divide each side by '-9'. u = -0.6666666667 Simplifying u = -0.6666666667
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