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Simplifying 5(u + -3) + -9 = -6(-2u + 3) + -3u Reorder the terms: 5(-3 + u) + -9 = -6(-2u + 3) + -3u (-3 * 5 + u * 5) + -9 = -6(-2u + 3) + -3u (-15 + 5u) + -9 = -6(-2u + 3) + -3u Reorder the terms: -15 + -9 + 5u = -6(-2u + 3) + -3u Combine like terms: -15 + -9 = -24 -24 + 5u = -6(-2u + 3) + -3u Reorder the terms: -24 + 5u = -6(3 + -2u) + -3u -24 + 5u = (3 * -6 + -2u * -6) + -3u -24 + 5u = (-18 + 12u) + -3u Combine like terms: 12u + -3u = 9u -24 + 5u = -18 + 9u Solving -24 + 5u = -18 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -24 + 5u + -9u = -18 + 9u + -9u Combine like terms: 5u + -9u = -4u -24 + -4u = -18 + 9u + -9u Combine like terms: 9u + -9u = 0 -24 + -4u = -18 + 0 -24 + -4u = -18 Add '24' to each side of the equation. -24 + 24 + -4u = -18 + 24 Combine like terms: -24 + 24 = 0 0 + -4u = -18 + 24 -4u = -18 + 24 Combine like terms: -18 + 24 = 6 -4u = 6 Divide each side by '-4'. u = -1.5 Simplifying u = -1.5
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