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Simplifying 5(u + -6) + -5 = -4(-4u + 5) + -5u Reorder the terms: 5(-6 + u) + -5 = -4(-4u + 5) + -5u (-6 * 5 + u * 5) + -5 = -4(-4u + 5) + -5u (-30 + 5u) + -5 = -4(-4u + 5) + -5u Reorder the terms: -30 + -5 + 5u = -4(-4u + 5) + -5u Combine like terms: -30 + -5 = -35 -35 + 5u = -4(-4u + 5) + -5u Reorder the terms: -35 + 5u = -4(5 + -4u) + -5u -35 + 5u = (5 * -4 + -4u * -4) + -5u -35 + 5u = (-20 + 16u) + -5u Combine like terms: 16u + -5u = 11u -35 + 5u = -20 + 11u Solving -35 + 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. -35 + 5u + -11u = -20 + 11u + -11u Combine like terms: 5u + -11u = -6u -35 + -6u = -20 + 11u + -11u Combine like terms: 11u + -11u = 0 -35 + -6u = -20 + 0 -35 + -6u = -20 Add '35' to each side of the equation. -35 + 35 + -6u = -20 + 35 Combine like terms: -35 + 35 = 0 0 + -6u = -20 + 35 -6u = -20 + 35 Combine like terms: -20 + 35 = 15 -6u = 15 Divide each side by '-6'. u = -2.5 Simplifying u = -2.5
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