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Simplifying 4(u + -4) + -2 = -3(6u + 5) + -2u Reorder the terms: 4(-4 + u) + -2 = -3(6u + 5) + -2u (-4 * 4 + u * 4) + -2 = -3(6u + 5) + -2u (-16 + 4u) + -2 = -3(6u + 5) + -2u Reorder the terms: -16 + -2 + 4u = -3(6u + 5) + -2u Combine like terms: -16 + -2 = -18 -18 + 4u = -3(6u + 5) + -2u Reorder the terms: -18 + 4u = -3(5 + 6u) + -2u -18 + 4u = (5 * -3 + 6u * -3) + -2u -18 + 4u = (-15 + -18u) + -2u Combine like terms: -18u + -2u = -20u -18 + 4u = -15 + -20u Solving -18 + 4u = -15 + -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. -18 + 4u + 20u = -15 + -20u + 20u Combine like terms: 4u + 20u = 24u -18 + 24u = -15 + -20u + 20u Combine like terms: -20u + 20u = 0 -18 + 24u = -15 + 0 -18 + 24u = -15 Add '18' to each side of the equation. -18 + 18 + 24u = -15 + 18 Combine like terms: -18 + 18 = 0 0 + 24u = -15 + 18 24u = -15 + 18 Combine like terms: -15 + 18 = 3 24u = 3 Divide each side by '24'. u = 0.125 Simplifying u = 0.125
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