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Simplifying -4(5u + -1) + 7u = 2(u + 7) Reorder the terms: -4(-1 + 5u) + 7u = 2(u + 7) (-1 * -4 + 5u * -4) + 7u = 2(u + 7) (4 + -20u) + 7u = 2(u + 7) Combine like terms: -20u + 7u = -13u 4 + -13u = 2(u + 7) Reorder the terms: 4 + -13u = 2(7 + u) 4 + -13u = (7 * 2 + u * 2) 4 + -13u = (14 + 2u) Solving 4 + -13u = 14 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 4 + -13u + -2u = 14 + 2u + -2u Combine like terms: -13u + -2u = -15u 4 + -15u = 14 + 2u + -2u Combine like terms: 2u + -2u = 0 4 + -15u = 14 + 0 4 + -15u = 14 Add '-4' to each side of the equation. 4 + -4 + -15u = 14 + -4 Combine like terms: 4 + -4 = 0 0 + -15u = 14 + -4 -15u = 14 + -4 Combine like terms: 14 + -4 = 10 -15u = 10 Divide each side by '-15'. u = -0.6666666667 Simplifying u = -0.6666666667
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