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Simplifying 5(u + -3) + -1 = -2(-9u + 6) + -7u Reorder the terms: 5(-3 + u) + -1 = -2(-9u + 6) + -7u (-3 * 5 + u * 5) + -1 = -2(-9u + 6) + -7u (-15 + 5u) + -1 = -2(-9u + 6) + -7u Reorder the terms: -15 + -1 + 5u = -2(-9u + 6) + -7u Combine like terms: -15 + -1 = -16 -16 + 5u = -2(-9u + 6) + -7u Reorder the terms: -16 + 5u = -2(6 + -9u) + -7u -16 + 5u = (6 * -2 + -9u * -2) + -7u -16 + 5u = (-12 + 18u) + -7u Combine like terms: 18u + -7u = 11u -16 + 5u = -12 + 11u Solving -16 + 5u = -12 + 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. -16 + 5u + -11u = -12 + 11u + -11u Combine like terms: 5u + -11u = -6u -16 + -6u = -12 + 11u + -11u Combine like terms: 11u + -11u = 0 -16 + -6u = -12 + 0 -16 + -6u = -12 Add '16' to each side of the equation. -16 + 16 + -6u = -12 + 16 Combine like terms: -16 + 16 = 0 0 + -6u = -12 + 16 -6u = -12 + 16 Combine like terms: -12 + 16 = 4 -6u = 4 Divide each side by '-6'. u = -0.6666666667 Simplifying u = -0.6666666667
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