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Simplifying 5(4n + 12) + -64 = 7(3n + -2) + 6n + 12 Reorder the terms: 5(12 + 4n) + -64 = 7(3n + -2) + 6n + 12 (12 * 5 + 4n * 5) + -64 = 7(3n + -2) + 6n + 12 (60 + 20n) + -64 = 7(3n + -2) + 6n + 12 Reorder the terms: 60 + -64 + 20n = 7(3n + -2) + 6n + 12 Combine like terms: 60 + -64 = -4 -4 + 20n = 7(3n + -2) + 6n + 12 Reorder the terms: -4 + 20n = 7(-2 + 3n) + 6n + 12 -4 + 20n = (-2 * 7 + 3n * 7) + 6n + 12 -4 + 20n = (-14 + 21n) + 6n + 12 Reorder the terms: -4 + 20n = -14 + 12 + 21n + 6n Combine like terms: -14 + 12 = -2 -4 + 20n = -2 + 21n + 6n Combine like terms: 21n + 6n = 27n -4 + 20n = -2 + 27n Solving -4 + 20n = -2 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. -4 + 20n + -27n = -2 + 27n + -27n Combine like terms: 20n + -27n = -7n -4 + -7n = -2 + 27n + -27n Combine like terms: 27n + -27n = 0 -4 + -7n = -2 + 0 -4 + -7n = -2 Add '4' to each side of the equation. -4 + 4 + -7n = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -7n = -2 + 4 -7n = -2 + 4 Combine like terms: -2 + 4 = 2 -7n = 2 Divide each side by '-7'. n = -0.2857142857 Simplifying n = -0.2857142857
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