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Simplifying -6(2u + -3) = 5(u + -10) Reorder the terms: -6(-3 + 2u) = 5(u + -10) (-3 * -6 + 2u * -6) = 5(u + -10) (18 + -12u) = 5(u + -10) Reorder the terms: 18 + -12u = 5(-10 + u) 18 + -12u = (-10 * 5 + u * 5) 18 + -12u = (-50 + 5u) Solving 18 + -12u = -50 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 18 + -12u + -5u = -50 + 5u + -5u Combine like terms: -12u + -5u = -17u 18 + -17u = -50 + 5u + -5u Combine like terms: 5u + -5u = 0 18 + -17u = -50 + 0 18 + -17u = -50 Add '-18' to each side of the equation. 18 + -18 + -17u = -50 + -18 Combine like terms: 18 + -18 = 0 0 + -17u = -50 + -18 -17u = -50 + -18 Combine like terms: -50 + -18 = -68 -17u = -68 Divide each side by '-17'. u = 4 Simplifying u = 4
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