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Simplifying 3(u + -6) + -6 = -2(-5u + 7) + -1u Reorder the terms: 3(-6 + u) + -6 = -2(-5u + 7) + -1u (-6 * 3 + u * 3) + -6 = -2(-5u + 7) + -1u (-18 + 3u) + -6 = -2(-5u + 7) + -1u Reorder the terms: -18 + -6 + 3u = -2(-5u + 7) + -1u Combine like terms: -18 + -6 = -24 -24 + 3u = -2(-5u + 7) + -1u Reorder the terms: -24 + 3u = -2(7 + -5u) + -1u -24 + 3u = (7 * -2 + -5u * -2) + -1u -24 + 3u = (-14 + 10u) + -1u Combine like terms: 10u + -1u = 9u -24 + 3u = -14 + 9u Solving -24 + 3u = -14 + 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 + 3u + -9u = -14 + 9u + -9u Combine like terms: 3u + -9u = -6u -24 + -6u = -14 + 9u + -9u Combine like terms: 9u + -9u = 0 -24 + -6u = -14 + 0 -24 + -6u = -14 Add '24' to each side of the equation. -24 + 24 + -6u = -14 + 24 Combine like terms: -24 + 24 = 0 0 + -6u = -14 + 24 -6u = -14 + 24 Combine like terms: -14 + 24 = 10 -6u = 10 Divide each side by '-6'. u = -1.666666667 Simplifying u = -1.666666667
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