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Simplifying -2(1 + -6n) = 13 + 7n (1 * -2 + -6n * -2) = 13 + 7n (-2 + 12n) = 13 + 7n Solving -2 + 12n = 13 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -2 + 12n + -7n = 13 + 7n + -7n Combine like terms: 12n + -7n = 5n -2 + 5n = 13 + 7n + -7n Combine like terms: 7n + -7n = 0 -2 + 5n = 13 + 0 -2 + 5n = 13 Add '2' to each side of the equation. -2 + 2 + 5n = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 5n = 13 + 2 5n = 13 + 2 Combine like terms: 13 + 2 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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