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Simplifying -2(n + 5) = 5n + 39 Reorder the terms: -2(5 + n) = 5n + 39 (5 * -2 + n * -2) = 5n + 39 (-10 + -2n) = 5n + 39 Reorder the terms: -10 + -2n = 39 + 5n Solving -10 + -2n = 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. -10 + -2n + -5n = 39 + 5n + -5n Combine like terms: -2n + -5n = -7n -10 + -7n = 39 + 5n + -5n Combine like terms: 5n + -5n = 0 -10 + -7n = 39 + 0 -10 + -7n = 39 Add '10' to each side of the equation. -10 + 10 + -7n = 39 + 10 Combine like terms: -10 + 10 = 0 0 + -7n = 39 + 10 -7n = 39 + 10 Combine like terms: 39 + 10 = 49 -7n = 49 Divide each side by '-7'. n = -7 Simplifying n = -7
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