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Simplifying 2(u + -8) + -1 = -5(-5u + 4) + -5u Reorder the terms: 2(-8 + u) + -1 = -5(-5u + 4) + -5u (-8 * 2 + u * 2) + -1 = -5(-5u + 4) + -5u (-16 + 2u) + -1 = -5(-5u + 4) + -5u Reorder the terms: -16 + -1 + 2u = -5(-5u + 4) + -5u Combine like terms: -16 + -1 = -17 -17 + 2u = -5(-5u + 4) + -5u Reorder the terms: -17 + 2u = -5(4 + -5u) + -5u -17 + 2u = (4 * -5 + -5u * -5) + -5u -17 + 2u = (-20 + 25u) + -5u Combine like terms: 25u + -5u = 20u -17 + 2u = -20 + 20u Solving -17 + 2u = -20 + 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. -17 + 2u + -20u = -20 + 20u + -20u Combine like terms: 2u + -20u = -18u -17 + -18u = -20 + 20u + -20u Combine like terms: 20u + -20u = 0 -17 + -18u = -20 + 0 -17 + -18u = -20 Add '17' to each side of the equation. -17 + 17 + -18u = -20 + 17 Combine like terms: -17 + 17 = 0 0 + -18u = -20 + 17 -18u = -20 + 17 Combine like terms: -20 + 17 = -3 -18u = -3 Divide each side by '-18'. u = 0.1666666667 Simplifying u = 0.1666666667
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