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Simplifying 2(u + -5) + -3 = -5(-5u + 5) + -5u Reorder the terms: 2(-5 + u) + -3 = -5(-5u + 5) + -5u (-5 * 2 + u * 2) + -3 = -5(-5u + 5) + -5u (-10 + 2u) + -3 = -5(-5u + 5) + -5u Reorder the terms: -10 + -3 + 2u = -5(-5u + 5) + -5u Combine like terms: -10 + -3 = -13 -13 + 2u = -5(-5u + 5) + -5u Reorder the terms: -13 + 2u = -5(5 + -5u) + -5u -13 + 2u = (5 * -5 + -5u * -5) + -5u -13 + 2u = (-25 + 25u) + -5u Combine like terms: 25u + -5u = 20u -13 + 2u = -25 + 20u Solving -13 + 2u = -25 + 20u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-20u' to each side of the equation. -13 + 2u + -20u = -25 + 20u + -20u Combine like terms: 2u + -20u = -18u -13 + -18u = -25 + 20u + -20u Combine like terms: 20u + -20u = 0 -13 + -18u = -25 + 0 -13 + -18u = -25 Add '13' to each side of the equation. -13 + 13 + -18u = -25 + 13 Combine like terms: -13 + 13 = 0 0 + -18u = -25 + 13 -18u = -25 + 13 Combine like terms: -25 + 13 = -12 -18u = -12 Divide each side by '-18'. u = 0.6666666667 Simplifying u = 0.6666666667
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