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Simplifying 3x(n + 12) = 45 Reorder the terms: 3x(12 + n) = 45 (12 * 3x + n * 3x) = 45 Reorder the terms: (3nx + 36x) = 45 (3nx + 36x) = 45 Solving 3nx + 36x = 45 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36x' to each side of the equation. 3nx + 36x + -36x = 45 + -36x Combine like terms: 36x + -36x = 0 3nx + 0 = 45 + -36x 3nx = 45 + -36x Divide each side by '3x'. n = 15x-1 + -12 Simplifying n = 15x-1 + -12 Reorder the terms: n = -12 + 15x-1
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