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Simplifying -2(n + -6) = 12(1 + 12n) + 3n Reorder the terms: -2(-6 + n) = 12(1 + 12n) + 3n (-6 * -2 + n * -2) = 12(1 + 12n) + 3n (12 + -2n) = 12(1 + 12n) + 3n 12 + -2n = (1 * 12 + 12n * 12) + 3n 12 + -2n = (12 + 144n) + 3n Combine like terms: 144n + 3n = 147n 12 + -2n = 12 + 147n Add '-12' to each side of the equation. 12 + -12 + -2n = 12 + -12 + 147n Combine like terms: 12 + -12 = 0 0 + -2n = 12 + -12 + 147n -2n = 12 + -12 + 147n Combine like terms: 12 + -12 = 0 -2n = 0 + 147n -2n = 147n Solving -2n = 147n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-147n' to each side of the equation. -2n + -147n = 147n + -147n Combine like terms: -2n + -147n = -149n -149n = 147n + -147n Combine like terms: 147n + -147n = 0 -149n = 0 Divide each side by '-149'. n = 0 Simplifying n = 0
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