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Simplifying 5(u + -7) + -3 = -5(-5u + 7) + -2u Reorder the terms: 5(-7 + u) + -3 = -5(-5u + 7) + -2u (-7 * 5 + u * 5) + -3 = -5(-5u + 7) + -2u (-35 + 5u) + -3 = -5(-5u + 7) + -2u Reorder the terms: -35 + -3 + 5u = -5(-5u + 7) + -2u Combine like terms: -35 + -3 = -38 -38 + 5u = -5(-5u + 7) + -2u Reorder the terms: -38 + 5u = -5(7 + -5u) + -2u -38 + 5u = (7 * -5 + -5u * -5) + -2u -38 + 5u = (-35 + 25u) + -2u Combine like terms: 25u + -2u = 23u -38 + 5u = -35 + 23u Solving -38 + 5u = -35 + 23u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-23u' to each side of the equation. -38 + 5u + -23u = -35 + 23u + -23u Combine like terms: 5u + -23u = -18u -38 + -18u = -35 + 23u + -23u Combine like terms: 23u + -23u = 0 -38 + -18u = -35 + 0 -38 + -18u = -35 Add '38' to each side of the equation. -38 + 38 + -18u = -35 + 38 Combine like terms: -38 + 38 = 0 0 + -18u = -35 + 38 -18u = -35 + 38 Combine like terms: -35 + 38 = 3 -18u = 3 Divide each side by '-18'. u = -0.1666666667 Simplifying u = -0.1666666667
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