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Simplifying 6(1 + 2n) + -2(-6) = 9n + 6 + 2n + -5 (1 * 6 + 2n * 6) + -2(-6) = 9n + 6 + 2n + -5 (6 + 12n) + -2(-6) = 9n + 6 + 2n + -5 Multiply -2 * -6 6 + 12n + 12 = 9n + 6 + 2n + -5 Reorder the terms: 6 + 12 + 12n = 9n + 6 + 2n + -5 Combine like terms: 6 + 12 = 18 18 + 12n = 9n + 6 + 2n + -5 Reorder the terms: 18 + 12n = 6 + -5 + 9n + 2n Combine like terms: 6 + -5 = 1 18 + 12n = 1 + 9n + 2n Combine like terms: 9n + 2n = 11n 18 + 12n = 1 + 11n Solving 18 + 12n = 1 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 18 + 12n + -11n = 1 + 11n + -11n Combine like terms: 12n + -11n = 1n 18 + 1n = 1 + 11n + -11n Combine like terms: 11n + -11n = 0 18 + 1n = 1 + 0 18 + 1n = 1 Add '-18' to each side of the equation. 18 + -18 + 1n = 1 + -18 Combine like terms: 18 + -18 = 0 0 + 1n = 1 + -18 1n = 1 + -18 Combine like terms: 1 + -18 = -17 1n = -17 Divide each side by '1'. n = -17 Simplifying n = -17
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