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Simplifying 6x(n + 2) = 66 Reorder the terms: 6x(2 + n) = 66 (2 * 6x + n * 6x) = 66 Reorder the terms: (6nx + 12x) = 66 (6nx + 12x) = 66 Solving 6nx + 12x = 66 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12x' to each side of the equation. 6nx + 12x + -12x = 66 + -12x Combine like terms: 12x + -12x = 0 6nx + 0 = 66 + -12x 6nx = 66 + -12x Divide each side by '6x'. n = 11x-1 + -2 Simplifying n = 11x-1 + -2 Reorder the terms: n = -2 + 11x-1
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