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Simplifying -6(2u + -4) + 5u = 5(u + 2) Reorder the terms: -6(-4 + 2u) + 5u = 5(u + 2) (-4 * -6 + 2u * -6) + 5u = 5(u + 2) (24 + -12u) + 5u = 5(u + 2) Combine like terms: -12u + 5u = -7u 24 + -7u = 5(u + 2) Reorder the terms: 24 + -7u = 5(2 + u) 24 + -7u = (2 * 5 + u * 5) 24 + -7u = (10 + 5u) Solving 24 + -7u = 10 + 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. 24 + -7u + -5u = 10 + 5u + -5u Combine like terms: -7u + -5u = -12u 24 + -12u = 10 + 5u + -5u Combine like terms: 5u + -5u = 0 24 + -12u = 10 + 0 24 + -12u = 10 Add '-24' to each side of the equation. 24 + -24 + -12u = 10 + -24 Combine like terms: 24 + -24 = 0 0 + -12u = 10 + -24 -12u = 10 + -24 Combine like terms: 10 + -24 = -14 -12u = -14 Divide each side by '-12'. u = 1.166666667 Simplifying u = 1.166666667
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