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Simplifying -7 + 2n = 7(7n + -1) Reorder the terms: -7 + 2n = 7(-1 + 7n) -7 + 2n = (-1 * 7 + 7n * 7) -7 + 2n = (-7 + 49n) Add '7' to each side of the equation. -7 + 7 + 2n = -7 + 7 + 49n Combine like terms: -7 + 7 = 0 0 + 2n = -7 + 7 + 49n 2n = -7 + 7 + 49n Combine like terms: -7 + 7 = 0 2n = 0 + 49n 2n = 49n Solving 2n = 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. 2n + -49n = 49n + -49n Combine like terms: 2n + -49n = -47n -47n = 49n + -49n Combine like terms: 49n + -49n = 0 -47n = 0 Divide each side by '-47'. n = 0 Simplifying n = 0
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