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Simplifying 2(7u + -3) + -1(u + 9) + -3(2n + 1) = 24 Reorder the terms: 2(-3 + 7u) + -1(u + 9) + -3(2n + 1) = 24 (-3 * 2 + 7u * 2) + -1(u + 9) + -3(2n + 1) = 24 (-6 + 14u) + -1(u + 9) + -3(2n + 1) = 24 Reorder the terms: -6 + 14u + -1(9 + u) + -3(2n + 1) = 24 -6 + 14u + (9 * -1 + u * -1) + -3(2n + 1) = 24 -6 + 14u + (-9 + -1u) + -3(2n + 1) = 24 Reorder the terms: -6 + 14u + -9 + -1u + -3(1 + 2n) = 24 -6 + 14u + -9 + -1u + (1 * -3 + 2n * -3) = 24 -6 + 14u + -9 + -1u + (-3 + -6n) = 24 Reorder the terms: -6 + -9 + -3 + -6n + 14u + -1u = 24 Combine like terms: -6 + -9 = -15 -15 + -3 + -6n + 14u + -1u = 24 Combine like terms: -15 + -3 = -18 -18 + -6n + 14u + -1u = 24 Combine like terms: 14u + -1u = 13u -18 + -6n + 13u = 24 Solving -18 + -6n + 13u = 24 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -6n + 18 + 13u = 24 + 18 Reorder the terms: -18 + 18 + -6n + 13u = 24 + 18 Combine like terms: -18 + 18 = 0 0 + -6n + 13u = 24 + 18 -6n + 13u = 24 + 18 Combine like terms: 24 + 18 = 42 -6n + 13u = 42 Add '-13u' to each side of the equation. -6n + 13u + -13u = 42 + -13u Combine like terms: 13u + -13u = 0 -6n + 0 = 42 + -13u -6n = 42 + -13u Divide each side by '-6'. n = -7 + 2.166666667u Simplifying n = -7 + 2.166666667u
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