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Simplifying -6(n + -6) = 39 + -5n Reorder the terms: -6(-6 + n) = 39 + -5n (-6 * -6 + n * -6) = 39 + -5n (36 + -6n) = 39 + -5n Solving 36 + -6n = 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. 36 + -6n + 5n = 39 + -5n + 5n Combine like terms: -6n + 5n = -1n 36 + -1n = 39 + -5n + 5n Combine like terms: -5n + 5n = 0 36 + -1n = 39 + 0 36 + -1n = 39 Add '-36' to each side of the equation. 36 + -36 + -1n = 39 + -36 Combine like terms: 36 + -36 = 0 0 + -1n = 39 + -36 -1n = 39 + -36 Combine like terms: 39 + -36 = 3 -1n = 3 Divide each side by '-1'. n = -3 Simplifying n = -3
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