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Simplifying 6(u + -2) + -9 = 4(-6u + 3) + -3u Reorder the terms: 6(-2 + u) + -9 = 4(-6u + 3) + -3u (-2 * 6 + u * 6) + -9 = 4(-6u + 3) + -3u (-12 + 6u) + -9 = 4(-6u + 3) + -3u Reorder the terms: -12 + -9 + 6u = 4(-6u + 3) + -3u Combine like terms: -12 + -9 = -21 -21 + 6u = 4(-6u + 3) + -3u Reorder the terms: -21 + 6u = 4(3 + -6u) + -3u -21 + 6u = (3 * 4 + -6u * 4) + -3u -21 + 6u = (12 + -24u) + -3u Combine like terms: -24u + -3u = -27u -21 + 6u = 12 + -27u Solving -21 + 6u = 12 + -27u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '27u' to each side of the equation. -21 + 6u + 27u = 12 + -27u + 27u Combine like terms: 6u + 27u = 33u -21 + 33u = 12 + -27u + 27u Combine like terms: -27u + 27u = 0 -21 + 33u = 12 + 0 -21 + 33u = 12 Add '21' to each side of the equation. -21 + 21 + 33u = 12 + 21 Combine like terms: -21 + 21 = 0 0 + 33u = 12 + 21 33u = 12 + 21 Combine like terms: 12 + 21 = 33 33u = 33 Divide each side by '33'. u = 1 Simplifying u = 1
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