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Simplifying 2(4 + -7) = 7u + 2 + -2(-5u + -1) Combine like terms: 4 + -7 = -3 2(-3) = 7u + 2 + -2(-5u + -1) Multiply 2 * -3 -6 = 7u + 2 + -2(-5u + -1) Reorder the terms: -6 = 7u + 2 + -2(-1 + -5u) -6 = 7u + 2 + (-1 * -2 + -5u * -2) -6 = 7u + 2 + (2 + 10u) Reorder the terms: -6 = 2 + 2 + 7u + 10u Combine like terms: 2 + 2 = 4 -6 = 4 + 7u + 10u Combine like terms: 7u + 10u = 17u -6 = 4 + 17u Solving -6 = 4 + 17u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-17u' to each side of the equation. -6 + -17u = 4 + 17u + -17u Combine like terms: 17u + -17u = 0 -6 + -17u = 4 + 0 -6 + -17u = 4 Add '6' to each side of the equation. -6 + 6 + -17u = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -17u = 4 + 6 -17u = 4 + 6 Combine like terms: 4 + 6 = 10 -17u = 10 Divide each side by '-17'. u = -0.5882352941 Simplifying u = -0.5882352941
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