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Simplifying 5n = -2 + -7(6 + -7n) 5n = -2 + (6 * -7 + -7n * -7) 5n = -2 + (-42 + 49n) Combine like terms: -2 + -42 = -44 5n = -44 + 49n Solving 5n = -44 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. 5n + -49n = -44 + 49n + -49n Combine like terms: 5n + -49n = -44n -44n = -44 + 49n + -49n Combine like terms: 49n + -49n = 0 -44n = -44 + 0 -44n = -44 Divide each side by '-44'. n = 1 Simplifying n = 1
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