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Simplifying 5(u + -4) + -2 = -6(-5u + 4) + -9u Reorder the terms: 5(-4 + u) + -2 = -6(-5u + 4) + -9u (-4 * 5 + u * 5) + -2 = -6(-5u + 4) + -9u (-20 + 5u) + -2 = -6(-5u + 4) + -9u Reorder the terms: -20 + -2 + 5u = -6(-5u + 4) + -9u Combine like terms: -20 + -2 = -22 -22 + 5u = -6(-5u + 4) + -9u Reorder the terms: -22 + 5u = -6(4 + -5u) + -9u -22 + 5u = (4 * -6 + -5u * -6) + -9u -22 + 5u = (-24 + 30u) + -9u Combine like terms: 30u + -9u = 21u -22 + 5u = -24 + 21u Solving -22 + 5u = -24 + 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. -22 + 5u + -21u = -24 + 21u + -21u Combine like terms: 5u + -21u = -16u -22 + -16u = -24 + 21u + -21u Combine like terms: 21u + -21u = 0 -22 + -16u = -24 + 0 -22 + -16u = -24 Add '22' to each side of the equation. -22 + 22 + -16u = -24 + 22 Combine like terms: -22 + 22 = 0 0 + -16u = -24 + 22 -16u = -24 + 22 Combine like terms: -24 + 22 = -2 -16u = -2 Divide each side by '-16'. u = 0.125 Simplifying u = 0.125
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