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Simplifying (6n + -8) + -1(3n + -7) = 0 Reorder the terms: (-8 + 6n) + -1(3n + -7) = 0 Remove parenthesis around (-8 + 6n) -8 + 6n + -1(3n + -7) = 0 Reorder the terms: -8 + 6n + -1(-7 + 3n) = 0 -8 + 6n + (-7 * -1 + 3n * -1) = 0 -8 + 6n + (7 + -3n) = 0 Reorder the terms: -8 + 7 + 6n + -3n = 0 Combine like terms: -8 + 7 = -1 -1 + 6n + -3n = 0 Combine like terms: 6n + -3n = 3n -1 + 3n = 0 Solving -1 + 3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3n = 0 + 1 3n = 0 + 1 Combine like terms: 0 + 1 = 1 3n = 1 Divide each side by '3'. n = 0.3333333333 Simplifying n = 0.3333333333
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