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Simplifying -7(7n + 7) = 39 + -5n Reorder the terms: -7(7 + 7n) = 39 + -5n (7 * -7 + 7n * -7) = 39 + -5n (-49 + -49n) = 39 + -5n Solving -49 + -49n = 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. -49 + -49n + 5n = 39 + -5n + 5n Combine like terms: -49n + 5n = -44n -49 + -44n = 39 + -5n + 5n Combine like terms: -5n + 5n = 0 -49 + -44n = 39 + 0 -49 + -44n = 39 Add '49' to each side of the equation. -49 + 49 + -44n = 39 + 49 Combine like terms: -49 + 49 = 0 0 + -44n = 39 + 49 -44n = 39 + 49 Combine like terms: 39 + 49 = 88 -44n = 88 Divide each side by '-44'. n = -2 Simplifying n = -2
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