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Simplifying -1u + -1(5 + 13u) + 10 = -6(4u + 11) + 0 -1u + (5 * -1 + 13u * -1) + 10 = -6(4u + 11) + 0 -1u + (-5 + -13u) + 10 = -6(4u + 11) + 0 Reorder the terms: -5 + 10 + -1u + -13u = -6(4u + 11) + 0 Combine like terms: -5 + 10 = 5 5 + -1u + -13u = -6(4u + 11) + 0 Combine like terms: -1u + -13u = -14u 5 + -14u = -6(4u + 11) + 0 Reorder the terms: 5 + -14u = -6(11 + 4u) + 0 5 + -14u = (11 * -6 + 4u * -6) + 0 5 + -14u = (-66 + -24u) + 0 Reorder the terms: 5 + -14u = -66 + 0 + -24u Combine like terms: -66 + 0 = -66 5 + -14u = -66 + -24u Solving 5 + -14u = -66 + -24u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '24u' to each side of the equation. 5 + -14u + 24u = -66 + -24u + 24u Combine like terms: -14u + 24u = 10u 5 + 10u = -66 + -24u + 24u Combine like terms: -24u + 24u = 0 5 + 10u = -66 + 0 5 + 10u = -66 Add '-5' to each side of the equation. 5 + -5 + 10u = -66 + -5 Combine like terms: 5 + -5 = 0 0 + 10u = -66 + -5 10u = -66 + -5 Combine like terms: -66 + -5 = -71 10u = -71 Divide each side by '10'. u = -7.1 Simplifying u = -7.1
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