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Simplifying -3n + -5 + n + -6 = 6(1 + -1n) + -7(3n + 6) Reorder the terms: -5 + -6 + -3n + n = 6(1 + -1n) + -7(3n + 6) Combine like terms: -5 + -6 = -11 -11 + -3n + n = 6(1 + -1n) + -7(3n + 6) Combine like terms: -3n + n = -2n -11 + -2n = 6(1 + -1n) + -7(3n + 6) -11 + -2n = (1 * 6 + -1n * 6) + -7(3n + 6) -11 + -2n = (6 + -6n) + -7(3n + 6) Reorder the terms: -11 + -2n = 6 + -6n + -7(6 + 3n) -11 + -2n = 6 + -6n + (6 * -7 + 3n * -7) -11 + -2n = 6 + -6n + (-42 + -21n) Reorder the terms: -11 + -2n = 6 + -42 + -6n + -21n Combine like terms: 6 + -42 = -36 -11 + -2n = -36 + -6n + -21n Combine like terms: -6n + -21n = -27n -11 + -2n = -36 + -27n Solving -11 + -2n = -36 + -27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '27n' to each side of the equation. -11 + -2n + 27n = -36 + -27n + 27n Combine like terms: -2n + 27n = 25n -11 + 25n = -36 + -27n + 27n Combine like terms: -27n + 27n = 0 -11 + 25n = -36 + 0 -11 + 25n = -36 Add '11' to each side of the equation. -11 + 11 + 25n = -36 + 11 Combine like terms: -11 + 11 = 0 0 + 25n = -36 + 11 25n = -36 + 11 Combine like terms: -36 + 11 = -25 25n = -25 Divide each side by '25'. n = -1 Simplifying n = -1
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