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Simplifying 3(u + -3) + -5 = -4(-5u + 4) + -9u Reorder the terms: 3(-3 + u) + -5 = -4(-5u + 4) + -9u (-3 * 3 + u * 3) + -5 = -4(-5u + 4) + -9u (-9 + 3u) + -5 = -4(-5u + 4) + -9u Reorder the terms: -9 + -5 + 3u = -4(-5u + 4) + -9u Combine like terms: -9 + -5 = -14 -14 + 3u = -4(-5u + 4) + -9u Reorder the terms: -14 + 3u = -4(4 + -5u) + -9u -14 + 3u = (4 * -4 + -5u * -4) + -9u -14 + 3u = (-16 + 20u) + -9u Combine like terms: 20u + -9u = 11u -14 + 3u = -16 + 11u Solving -14 + 3u = -16 + 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. -14 + 3u + -11u = -16 + 11u + -11u Combine like terms: 3u + -11u = -8u -14 + -8u = -16 + 11u + -11u Combine like terms: 11u + -11u = 0 -14 + -8u = -16 + 0 -14 + -8u = -16 Add '14' to each side of the equation. -14 + 14 + -8u = -16 + 14 Combine like terms: -14 + 14 = 0 0 + -8u = -16 + 14 -8u = -16 + 14 Combine like terms: -16 + 14 = -2 -8u = -2 Divide each side by '-8'. u = 0.25 Simplifying u = 0.25
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