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Simplifying 5(u + -1) + -3 = -3(-8u + 1) + -4u Reorder the terms: 5(-1 + u) + -3 = -3(-8u + 1) + -4u (-1 * 5 + u * 5) + -3 = -3(-8u + 1) + -4u (-5 + 5u) + -3 = -3(-8u + 1) + -4u Reorder the terms: -5 + -3 + 5u = -3(-8u + 1) + -4u Combine like terms: -5 + -3 = -8 -8 + 5u = -3(-8u + 1) + -4u Reorder the terms: -8 + 5u = -3(1 + -8u) + -4u -8 + 5u = (1 * -3 + -8u * -3) + -4u -8 + 5u = (-3 + 24u) + -4u Combine like terms: 24u + -4u = 20u -8 + 5u = -3 + 20u Solving -8 + 5u = -3 + 20u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-20u' to each side of the equation. -8 + 5u + -20u = -3 + 20u + -20u Combine like terms: 5u + -20u = -15u -8 + -15u = -3 + 20u + -20u Combine like terms: 20u + -20u = 0 -8 + -15u = -3 + 0 -8 + -15u = -3 Add '8' to each side of the equation. -8 + 8 + -15u = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -15u = -3 + 8 -15u = -3 + 8 Combine like terms: -3 + 8 = 5 -15u = 5 Divide each side by '-15'. u = -0.3333333333 Simplifying u = -0.3333333333
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