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Simplifying 7(7n + -1) = -7(1 + -7n) + 3n Reorder the terms: 7(-1 + 7n) = -7(1 + -7n) + 3n (-1 * 7 + 7n * 7) = -7(1 + -7n) + 3n (-7 + 49n) = -7(1 + -7n) + 3n -7 + 49n = (1 * -7 + -7n * -7) + 3n -7 + 49n = (-7 + 49n) + 3n Combine like terms: 49n + 3n = 52n -7 + 49n = -7 + 52n Add '7' to each side of the equation. -7 + 7 + 49n = -7 + 7 + 52n Combine like terms: -7 + 7 = 0 0 + 49n = -7 + 7 + 52n 49n = -7 + 7 + 52n Combine like terms: -7 + 7 = 0 49n = 0 + 52n 49n = 52n Solving 49n = 52n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-52n' to each side of the equation. 49n + -52n = 52n + -52n Combine like terms: 49n + -52n = -3n -3n = 52n + -52n Combine like terms: 52n + -52n = 0 -3n = 0 Divide each side by '-3'. n = 0 Simplifying n = 0
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