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Simplifying -84(n + -37) = -12(1 + -6n) Reorder the terms: -84(-37 + n) = -12(1 + -6n) (-37 * -84 + n * -84) = -12(1 + -6n) (3108 + -84n) = -12(1 + -6n) 3108 + -84n = (1 * -12 + -6n * -12) 3108 + -84n = (-12 + 72n) Solving 3108 + -84n = -12 + 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 3108 + -84n + -72n = -12 + 72n + -72n Combine like terms: -84n + -72n = -156n 3108 + -156n = -12 + 72n + -72n Combine like terms: 72n + -72n = 0 3108 + -156n = -12 + 0 3108 + -156n = -12 Add '-3108' to each side of the equation. 3108 + -3108 + -156n = -12 + -3108 Combine like terms: 3108 + -3108 = 0 0 + -156n = -12 + -3108 -156n = -12 + -3108 Combine like terms: -12 + -3108 = -3120 -156n = -3120 Divide each side by '-156'. n = 20 Simplifying n = 20
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