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Simplifying -1u + -5(5 + 13u) + 10 = -6(4u + 11) + -9 -1u + (5 * -5 + 13u * -5) + 10 = -6(4u + 11) + -9 -1u + (-25 + -65u) + 10 = -6(4u + 11) + -9 Reorder the terms: -25 + 10 + -1u + -65u = -6(4u + 11) + -9 Combine like terms: -25 + 10 = -15 -15 + -1u + -65u = -6(4u + 11) + -9 Combine like terms: -1u + -65u = -66u -15 + -66u = -6(4u + 11) + -9 Reorder the terms: -15 + -66u = -6(11 + 4u) + -9 -15 + -66u = (11 * -6 + 4u * -6) + -9 -15 + -66u = (-66 + -24u) + -9 Reorder the terms: -15 + -66u = -66 + -9 + -24u Combine like terms: -66 + -9 = -75 -15 + -66u = -75 + -24u Solving -15 + -66u = -75 + -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. -15 + -66u + 24u = -75 + -24u + 24u Combine like terms: -66u + 24u = -42u -15 + -42u = -75 + -24u + 24u Combine like terms: -24u + 24u = 0 -15 + -42u = -75 + 0 -15 + -42u = -75 Add '15' to each side of the equation. -15 + 15 + -42u = -75 + 15 Combine like terms: -15 + 15 = 0 0 + -42u = -75 + 15 -42u = -75 + 15 Combine like terms: -75 + 15 = -60 -42u = -60 Divide each side by '-42'. u = 1.428571429 Simplifying u = 1.428571429
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