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Simplifying 6(2n + 11) + 4(n + -6) = 9n + -7n Reorder the terms: 6(11 + 2n) + 4(n + -6) = 9n + -7n (11 * 6 + 2n * 6) + 4(n + -6) = 9n + -7n (66 + 12n) + 4(n + -6) = 9n + -7n Reorder the terms: 66 + 12n + 4(-6 + n) = 9n + -7n 66 + 12n + (-6 * 4 + n * 4) = 9n + -7n 66 + 12n + (-24 + 4n) = 9n + -7n Reorder the terms: 66 + -24 + 12n + 4n = 9n + -7n Combine like terms: 66 + -24 = 42 42 + 12n + 4n = 9n + -7n Combine like terms: 12n + 4n = 16n 42 + 16n = 9n + -7n Combine like terms: 9n + -7n = 2n 42 + 16n = 2n Solving 42 + 16n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 42 + 16n + -2n = 2n + -2n Combine like terms: 16n + -2n = 14n 42 + 14n = 2n + -2n Combine like terms: 2n + -2n = 0 42 + 14n = 0 Add '-42' to each side of the equation. 42 + -42 + 14n = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 14n = 0 + -42 14n = 0 + -42 Combine like terms: 0 + -42 = -42 14n = -42 Divide each side by '14'. n = -3 Simplifying n = -3
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