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Simplifying 5(u + -3) + -9 = -2(-3u + 7) + -9u Reorder the terms: 5(-3 + u) + -9 = -2(-3u + 7) + -9u (-3 * 5 + u * 5) + -9 = -2(-3u + 7) + -9u (-15 + 5u) + -9 = -2(-3u + 7) + -9u Reorder the terms: -15 + -9 + 5u = -2(-3u + 7) + -9u Combine like terms: -15 + -9 = -24 -24 + 5u = -2(-3u + 7) + -9u Reorder the terms: -24 + 5u = -2(7 + -3u) + -9u -24 + 5u = (7 * -2 + -3u * -2) + -9u -24 + 5u = (-14 + 6u) + -9u Combine like terms: 6u + -9u = -3u -24 + 5u = -14 + -3u Solving -24 + 5u = -14 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. -24 + 5u + 3u = -14 + -3u + 3u Combine like terms: 5u + 3u = 8u -24 + 8u = -14 + -3u + 3u Combine like terms: -3u + 3u = 0 -24 + 8u = -14 + 0 -24 + 8u = -14 Add '24' to each side of the equation. -24 + 24 + 8u = -14 + 24 Combine like terms: -24 + 24 = 0 0 + 8u = -14 + 24 8u = -14 + 24 Combine like terms: -14 + 24 = 10 8u = 10 Divide each side by '8'. u = 1.25 Simplifying u = 1.25
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