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Simplifying 6(u + -4) + -7 = -3(-6u + 5) + -6u Reorder the terms: 6(-4 + u) + -7 = -3(-6u + 5) + -6u (-4 * 6 + u * 6) + -7 = -3(-6u + 5) + -6u (-24 + 6u) + -7 = -3(-6u + 5) + -6u Reorder the terms: -24 + -7 + 6u = -3(-6u + 5) + -6u Combine like terms: -24 + -7 = -31 -31 + 6u = -3(-6u + 5) + -6u Reorder the terms: -31 + 6u = -3(5 + -6u) + -6u -31 + 6u = (5 * -3 + -6u * -3) + -6u -31 + 6u = (-15 + 18u) + -6u Combine like terms: 18u + -6u = 12u -31 + 6u = -15 + 12u Solving -31 + 6u = -15 + 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 = -15 + 12u + -12u Combine like terms: 6u + -12u = -6u -31 + -6u = -15 + 12u + -12u Combine like terms: 12u + -12u = 0 -31 + -6u = -15 + 0 -31 + -6u = -15 Add '31' to each side of the equation. -31 + 31 + -6u = -15 + 31 Combine like terms: -31 + 31 = 0 0 + -6u = -15 + 31 -6u = -15 + 31 Combine like terms: -15 + 31 = 16 -6u = 16 Divide each side by '-6'. u = -2.666666667 Simplifying u = -2.666666667
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