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Simplifying -2(-5n + -2) = 39 + 5n Reorder the terms: -2(-2 + -5n) = 39 + 5n (-2 * -2 + -5n * -2) = 39 + 5n (4 + 10n) = 39 + 5n Solving 4 + 10n = 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. 4 + 10n + -5n = 39 + 5n + -5n Combine like terms: 10n + -5n = 5n 4 + 5n = 39 + 5n + -5n Combine like terms: 5n + -5n = 0 4 + 5n = 39 + 0 4 + 5n = 39 Add '-4' to each side of the equation. 4 + -4 + 5n = 39 + -4 Combine like terms: 4 + -4 = 0 0 + 5n = 39 + -4 5n = 39 + -4 Combine like terms: 39 + -4 = 35 5n = 35 Divide each side by '5'. n = 7 Simplifying n = 7
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