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Simplifying 8 + -7n = 1 + -7(7n + -7) Reorder the terms: 8 + -7n = 1 + -7(-7 + 7n) 8 + -7n = 1 + (-7 * -7 + 7n * -7) 8 + -7n = 1 + (49 + -49n) Combine like terms: 1 + 49 = 50 8 + -7n = 50 + -49n Solving 8 + -7n = 50 + -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. 8 + -7n + 49n = 50 + -49n + 49n Combine like terms: -7n + 49n = 42n 8 + 42n = 50 + -49n + 49n Combine like terms: -49n + 49n = 0 8 + 42n = 50 + 0 8 + 42n = 50 Add '-8' to each side of the equation. 8 + -8 + 42n = 50 + -8 Combine like terms: 8 + -8 = 0 0 + 42n = 50 + -8 42n = 50 + -8 Combine like terms: 50 + -8 = 42 42n = 42 Divide each side by '42'. n = 1 Simplifying n = 1
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