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Simplifying 3(u + -9) + -7 = -6(-5 + 4) + -9u Reorder the terms: 3(-9 + u) + -7 = -6(-5 + 4) + -9u (-9 * 3 + u * 3) + -7 = -6(-5 + 4) + -9u (-27 + 3u) + -7 = -6(-5 + 4) + -9u Reorder the terms: -27 + -7 + 3u = -6(-5 + 4) + -9u Combine like terms: -27 + -7 = -34 -34 + 3u = -6(-5 + 4) + -9u Combine like terms: -5 + 4 = -1 -34 + 3u = -6(-1) + -9u Multiply -6 * -1 -34 + 3u = 6 + -9u Solving -34 + 3u = 6 + -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. -34 + 3u + 9u = 6 + -9u + 9u Combine like terms: 3u + 9u = 12u -34 + 12u = 6 + -9u + 9u Combine like terms: -9u + 9u = 0 -34 + 12u = 6 + 0 -34 + 12u = 6 Add '34' to each side of the equation. -34 + 34 + 12u = 6 + 34 Combine like terms: -34 + 34 = 0 0 + 12u = 6 + 34 12u = 6 + 34 Combine like terms: 6 + 34 = 40 12u = 40 Divide each side by '12'. u = 3.333333333 Simplifying u = 3.333333333
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