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Simplifying 39 + -7n = -2(n + -6) + -8 Reorder the terms: 39 + -7n = -2(-6 + n) + -8 39 + -7n = (-6 * -2 + n * -2) + -8 39 + -7n = (12 + -2n) + -8 Reorder the terms: 39 + -7n = 12 + -8 + -2n Combine like terms: 12 + -8 = 4 39 + -7n = 4 + -2n Solving 39 + -7n = 4 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 39 + -7n + 2n = 4 + -2n + 2n Combine like terms: -7n + 2n = -5n 39 + -5n = 4 + -2n + 2n Combine like terms: -2n + 2n = 0 39 + -5n = 4 + 0 39 + -5n = 4 Add '-39' to each side of the equation. 39 + -39 + -5n = 4 + -39 Combine like terms: 39 + -39 = 0 0 + -5n = 4 + -39 -5n = 4 + -39 Combine like terms: 4 + -39 = -35 -5n = -35 Divide each side by '-5'. n = 7 Simplifying n = 7
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