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Simplifying (n + -6) + -8 = -1(1 + n) Reorder the terms: (-6 + n) + -8 = -1(1 + n) Remove parenthesis around (-6 + n) -6 + n + -8 = -1(1 + n) Reorder the terms: -6 + -8 + n = -1(1 + n) Combine like terms: -6 + -8 = -14 -14 + n = -1(1 + n) -14 + n = (1 * -1 + n * -1) -14 + n = (-1 + -1n) Solving -14 + n = -1 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -14 + n + n = -1 + -1n + n Combine like terms: n + n = 2n -14 + 2n = -1 + -1n + n Combine like terms: -1n + n = 0 -14 + 2n = -1 + 0 -14 + 2n = -1 Add '14' to each side of the equation. -14 + 14 + 2n = -1 + 14 Combine like terms: -14 + 14 = 0 0 + 2n = -1 + 14 2n = -1 + 14 Combine like terms: -1 + 14 = 13 2n = 13 Divide each side by '2'. n = 6.5 Simplifying n = 6.5
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