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Simplifying 5(u + -3) + -3 = -4(-4u + 5) + -5u Reorder the terms: 5(-3 + u) + -3 = -4(-4u + 5) + -5u (-3 * 5 + u * 5) + -3 = -4(-4u + 5) + -5u (-15 + 5u) + -3 = -4(-4u + 5) + -5u Reorder the terms: -15 + -3 + 5u = -4(-4u + 5) + -5u Combine like terms: -15 + -3 = -18 -18 + 5u = -4(-4u + 5) + -5u Reorder the terms: -18 + 5u = -4(5 + -4u) + -5u -18 + 5u = (5 * -4 + -4u * -4) + -5u -18 + 5u = (-20 + 16u) + -5u Combine like terms: 16u + -5u = 11u -18 + 5u = -20 + 11u Solving -18 + 5u = -20 + 11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-11u' to each side of the equation. -18 + 5u + -11u = -20 + 11u + -11u Combine like terms: 5u + -11u = -6u -18 + -6u = -20 + 11u + -11u Combine like terms: 11u + -11u = 0 -18 + -6u = -20 + 0 -18 + -6u = -20 Add '18' to each side of the equation. -18 + 18 + -6u = -20 + 18 Combine like terms: -18 + 18 = 0 0 + -6u = -20 + 18 -6u = -20 + 18 Combine like terms: -20 + 18 = -2 -6u = -2 Divide each side by '-6'. u = 0.3333333333 Simplifying u = 0.3333333333
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