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Simplifying n + 7[5n + -7(n + 2) + -1(5n + -12)] = 54 Reorder the terms: n + 7[5n + -7(2 + n) + -1(5n + -12)] = 54 n + 7[5n + (2 * -7 + n * -7) + -1(5n + -12)] = 54 n + 7[5n + (-14 + -7n) + -1(5n + -12)] = 54 Reorder the terms: n + 7[5n + -14 + -7n + -1(-12 + 5n)] = 54 n + 7[5n + -14 + -7n + (-12 * -1 + 5n * -1)] = 54 n + 7[5n + -14 + -7n + (12 + -5n)] = 54 Reorder the terms: n + 7[-14 + 12 + 5n + -7n + -5n] = 54 Combine like terms: -14 + 12 = -2 n + 7[-2 + 5n + -7n + -5n] = 54 Combine like terms: 5n + -7n = -2n n + 7[-2 + -2n + -5n] = 54 Combine like terms: -2n + -5n = -7n n + 7[-2 + -7n] = 54 n + [-2 * 7 + -7n * 7] = 54 n + [-14 + -49n] = 54 Reorder the terms: -14 + n + -49n = 54 Combine like terms: n + -49n = -48n -14 + -48n = 54 Solving -14 + -48n = 54 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -48n = 54 + 14 Combine like terms: -14 + 14 = 0 0 + -48n = 54 + 14 -48n = 54 + 14 Combine like terms: 54 + 14 = 68 -48n = 68 Divide each side by '-48'. n = -1.416666667 Simplifying n = -1.416666667
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