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Simplifying 6(n + -7) + -1(1 + -6n) = 11n Reorder the terms: 6(-7 + n) + -1(1 + -6n) = 11n (-7 * 6 + n * 6) + -1(1 + -6n) = 11n (-42 + 6n) + -1(1 + -6n) = 11n -42 + 6n + (1 * -1 + -6n * -1) = 11n -42 + 6n + (-1 + 6n) = 11n Reorder the terms: -42 + -1 + 6n + 6n = 11n Combine like terms: -42 + -1 = -43 -43 + 6n + 6n = 11n Combine like terms: 6n + 6n = 12n -43 + 12n = 11n Solving -43 + 12n = 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -43 + 12n + -11n = 11n + -11n Combine like terms: 12n + -11n = 1n -43 + 1n = 11n + -11n Combine like terms: 11n + -11n = 0 -43 + 1n = 0 Add '43' to each side of the equation. -43 + 43 + 1n = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 1n = 0 + 43 1n = 0 + 43 Combine like terms: 0 + 43 = 43 1n = 43 Divide each side by '1'. n = 43 Simplifying n = 43
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