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Simplifying 4(u + -1) = u + 5 + -6(-2u + -1) Reorder the terms: 4(-1 + u) = u + 5 + -6(-2u + -1) (-1 * 4 + u * 4) = u + 5 + -6(-2u + -1) (-4 + 4u) = u + 5 + -6(-2u + -1) Reorder the terms: -4 + 4u = u + 5 + -6(-1 + -2u) -4 + 4u = u + 5 + (-1 * -6 + -2u * -6) -4 + 4u = u + 5 + (6 + 12u) Reorder the terms: -4 + 4u = 5 + 6 + u + 12u Combine like terms: 5 + 6 = 11 -4 + 4u = 11 + u + 12u Combine like terms: u + 12u = 13u -4 + 4u = 11 + 13u Solving -4 + 4u = 11 + 13u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-13u' to each side of the equation. -4 + 4u + -13u = 11 + 13u + -13u Combine like terms: 4u + -13u = -9u -4 + -9u = 11 + 13u + -13u Combine like terms: 13u + -13u = 0 -4 + -9u = 11 + 0 -4 + -9u = 11 Add '4' to each side of the equation. -4 + 4 + -9u = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -9u = 11 + 4 -9u = 11 + 4 Combine like terms: 11 + 4 = 15 -9u = 15 Divide each side by '-9'. u = -1.666666667 Simplifying u = -1.666666667
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