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Simplifying 5(u + -3) + -9 = -5(-6u + 2) + -9u Reorder the terms: 5(-3 + u) + -9 = -5(-6u + 2) + -9u (-3 * 5 + u * 5) + -9 = -5(-6u + 2) + -9u (-15 + 5u) + -9 = -5(-6u + 2) + -9u Reorder the terms: -15 + -9 + 5u = -5(-6u + 2) + -9u Combine like terms: -15 + -9 = -24 -24 + 5u = -5(-6u + 2) + -9u Reorder the terms: -24 + 5u = -5(2 + -6u) + -9u -24 + 5u = (2 * -5 + -6u * -5) + -9u -24 + 5u = (-10 + 30u) + -9u Combine like terms: 30u + -9u = 21u -24 + 5u = -10 + 21u Solving -24 + 5u = -10 + 21u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-21u' to each side of the equation. -24 + 5u + -21u = -10 + 21u + -21u Combine like terms: 5u + -21u = -16u -24 + -16u = -10 + 21u + -21u Combine like terms: 21u + -21u = 0 -24 + -16u = -10 + 0 -24 + -16u = -10 Add '24' to each side of the equation. -24 + 24 + -16u = -10 + 24 Combine like terms: -24 + 24 = 0 0 + -16u = -10 + 24 -16u = -10 + 24 Combine like terms: -10 + 24 = 14 -16u = 14 Divide each side by '-16'. u = -0.875 Simplifying u = -0.875
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