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Simplifying 6n + -1(2 + -3n) = 78 6n + (2 * -1 + -3n * -1) = 78 6n + (-2 + 3n) = 78 Reorder the terms: -2 + 6n + 3n = 78 Combine like terms: 6n + 3n = 9n -2 + 9n = 78 Solving -2 + 9n = 78 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 9n = 78 + 2 Combine like terms: -2 + 2 = 0 0 + 9n = 78 + 2 9n = 78 + 2 Combine like terms: 78 + 2 = 80 9n = 80 Divide each side by '9'. n = 8.888888889 Simplifying n = 8.888888889
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