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Simplifying -39 + 5n = 6(2n + -6) + -3 Reorder the terms: -39 + 5n = 6(-6 + 2n) + -3 -39 + 5n = (-6 * 6 + 2n * 6) + -3 -39 + 5n = (-36 + 12n) + -3 Reorder the terms: -39 + 5n = -36 + -3 + 12n Combine like terms: -36 + -3 = -39 -39 + 5n = -39 + 12n Add '39' to each side of the equation. -39 + 39 + 5n = -39 + 39 + 12n Combine like terms: -39 + 39 = 0 0 + 5n = -39 + 39 + 12n 5n = -39 + 39 + 12n Combine like terms: -39 + 39 = 0 5n = 0 + 12n 5n = 12n Solving 5n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 5n + -12n = 12n + -12n Combine like terms: 5n + -12n = -7n -7n = 12n + -12n Combine like terms: 12n + -12n = 0 -7n = 0 Divide each side by '-7'. n = 0 Simplifying n = 0
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