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Simplifying (n + -8) + -1(-2n + -2) = 0 Reorder the terms: (-8 + n) + -1(-2n + -2) = 0 Remove parenthesis around (-8 + n) -8 + n + -1(-2n + -2) = 0 Reorder the terms: -8 + n + -1(-2 + -2n) = 0 -8 + n + (-2 * -1 + -2n * -1) = 0 -8 + n + (2 + 2n) = 0 Reorder the terms: -8 + 2 + n + 2n = 0 Combine like terms: -8 + 2 = -6 -6 + n + 2n = 0 Combine like terms: n + 2n = 3n -6 + 3n = 0 Solving -6 + 3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 3n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3n = 0 + 6 3n = 0 + 6 Combine like terms: 0 + 6 = 6 3n = 6 Divide each side by '3'. n = 2 Simplifying n = 2
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