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Simplifying 5(u + -4) + -1 = -4(-4u + 9) + -5u Reorder the terms: 5(-4 + u) + -1 = -4(-4u + 9) + -5u (-4 * 5 + u * 5) + -1 = -4(-4u + 9) + -5u (-20 + 5u) + -1 = -4(-4u + 9) + -5u Reorder the terms: -20 + -1 + 5u = -4(-4u + 9) + -5u Combine like terms: -20 + -1 = -21 -21 + 5u = -4(-4u + 9) + -5u Reorder the terms: -21 + 5u = -4(9 + -4u) + -5u -21 + 5u = (9 * -4 + -4u * -4) + -5u -21 + 5u = (-36 + 16u) + -5u Combine like terms: 16u + -5u = 11u -21 + 5u = -36 + 11u Solving -21 + 5u = -36 + 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. -21 + 5u + -11u = -36 + 11u + -11u Combine like terms: 5u + -11u = -6u -21 + -6u = -36 + 11u + -11u Combine like terms: 11u + -11u = 0 -21 + -6u = -36 + 0 -21 + -6u = -36 Add '21' to each side of the equation. -21 + 21 + -6u = -36 + 21 Combine like terms: -21 + 21 = 0 0 + -6u = -36 + 21 -6u = -36 + 21 Combine like terms: -36 + 21 = -15 -6u = -15 Divide each side by '-6'. u = 2.5 Simplifying u = 2.5
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