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Simplifying -2n + 6(2 + -5n) = 39 + -5n -2n + (2 * 6 + -5n * 6) = 39 + -5n -2n + (12 + -30n) = 39 + -5n Reorder the terms: 12 + -2n + -30n = 39 + -5n Combine like terms: -2n + -30n = -32n 12 + -32n = 39 + -5n Solving 12 + -32n = 39 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 12 + -32n + 5n = 39 + -5n + 5n Combine like terms: -32n + 5n = -27n 12 + -27n = 39 + -5n + 5n Combine like terms: -5n + 5n = 0 12 + -27n = 39 + 0 12 + -27n = 39 Add '-12' to each side of the equation. 12 + -12 + -27n = 39 + -12 Combine like terms: 12 + -12 = 0 0 + -27n = 39 + -12 -27n = 39 + -12 Combine like terms: 39 + -12 = 27 -27n = 27 Divide each side by '-27'. n = -1 Simplifying n = -1
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