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Simplifying 6(u + -4) + -7 = -3 + -1(6u + 5) + -6u Reorder the terms: 6(-4 + u) + -7 = -3 + -1(6u + 5) + -6u (-4 * 6 + u * 6) + -7 = -3 + -1(6u + 5) + -6u (-24 + 6u) + -7 = -3 + -1(6u + 5) + -6u Reorder the terms: -24 + -7 + 6u = -3 + -1(6u + 5) + -6u Combine like terms: -24 + -7 = -31 -31 + 6u = -3 + -1(6u + 5) + -6u Reorder the terms: -31 + 6u = -3 + -1(5 + 6u) + -6u -31 + 6u = -3 + (5 * -1 + 6u * -1) + -6u -31 + 6u = -3 + (-5 + -6u) + -6u Combine like terms: -3 + -5 = -8 -31 + 6u = -8 + -6u + -6u Combine like terms: -6u + -6u = -12u -31 + 6u = -8 + -12u Solving -31 + 6u = -8 + -12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '12u' to each side of the equation. -31 + 6u + 12u = -8 + -12u + 12u Combine like terms: 6u + 12u = 18u -31 + 18u = -8 + -12u + 12u Combine like terms: -12u + 12u = 0 -31 + 18u = -8 + 0 -31 + 18u = -8 Add '31' to each side of the equation. -31 + 31 + 18u = -8 + 31 Combine like terms: -31 + 31 = 0 0 + 18u = -8 + 31 18u = -8 + 31 Combine like terms: -8 + 31 = 23 18u = 23 Divide each side by '18'. u = 1.277777778 Simplifying u = 1.277777778
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