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Simplifying (3n + -8) + -1(-2n + 2) = 0 Reorder the terms: (-8 + 3n) + -1(-2n + 2) = 0 Remove parenthesis around (-8 + 3n) -8 + 3n + -1(-2n + 2) = 0 Reorder the terms: -8 + 3n + -1(2 + -2n) = 0 -8 + 3n + (2 * -1 + -2n * -1) = 0 -8 + 3n + (-2 + 2n) = 0 Reorder the terms: -8 + -2 + 3n + 2n = 0 Combine like terms: -8 + -2 = -10 -10 + 3n + 2n = 0 Combine like terms: 3n + 2n = 5n -10 + 5n = 0 Solving -10 + 5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 5n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 5n = 0 + 10 5n = 0 + 10 Combine like terms: 0 + 10 = 10 5n = 10 Divide each side by '5'. n = 2 Simplifying n = 2
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