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Simplifying -7(-7n + 1) + -5n = -7 + 5n Reorder the terms: -7(1 + -7n) + -5n = -7 + 5n (1 * -7 + -7n * -7) + -5n = -7 + 5n (-7 + 49n) + -5n = -7 + 5n Combine like terms: 49n + -5n = 44n -7 + 44n = -7 + 5n Add '7' to each side of the equation. -7 + 7 + 44n = -7 + 7 + 5n Combine like terms: -7 + 7 = 0 0 + 44n = -7 + 7 + 5n 44n = -7 + 7 + 5n Combine like terms: -7 + 7 = 0 44n = 0 + 5n 44n = 5n Solving 44n = 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. 44n + -5n = 5n + -5n Combine like terms: 44n + -5n = 39n 39n = 5n + -5n Combine like terms: 5n + -5n = 0 39n = 0 Divide each side by '39'. n = 0 Simplifying n = 0
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