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Simplifying 3(u + -5) + -9 = -6(-2u + 2) + -1u Reorder the terms: 3(-5 + u) + -9 = -6(-2u + 2) + -1u (-5 * 3 + u * 3) + -9 = -6(-2u + 2) + -1u (-15 + 3u) + -9 = -6(-2u + 2) + -1u Reorder the terms: -15 + -9 + 3u = -6(-2u + 2) + -1u Combine like terms: -15 + -9 = -24 -24 + 3u = -6(-2u + 2) + -1u Reorder the terms: -24 + 3u = -6(2 + -2u) + -1u -24 + 3u = (2 * -6 + -2u * -6) + -1u -24 + 3u = (-12 + 12u) + -1u Combine like terms: 12u + -1u = 11u -24 + 3u = -12 + 11u Solving -24 + 3u = -12 + 11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-11u' to each side of the equation. -24 + 3u + -11u = -12 + 11u + -11u Combine like terms: 3u + -11u = -8u -24 + -8u = -12 + 11u + -11u Combine like terms: 11u + -11u = 0 -24 + -8u = -12 + 0 -24 + -8u = -12 Add '24' to each side of the equation. -24 + 24 + -8u = -12 + 24 Combine like terms: -24 + 24 = 0 0 + -8u = -12 + 24 -8u = -12 + 24 Combine like terms: -12 + 24 = 12 -8u = 12 Divide each side by '-8'. u = -1.5 Simplifying u = -1.5
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