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Simplifying 7 + -5n = 7(1 + 7n) 7 + -5n = (1 * 7 + 7n * 7) 7 + -5n = (7 + 49n) Add '-7' to each side of the equation. 7 + -7 + -5n = 7 + -7 + 49n Combine like terms: 7 + -7 = 0 0 + -5n = 7 + -7 + 49n -5n = 7 + -7 + 49n Combine like terms: 7 + -7 = 0 -5n = 0 + 49n -5n = 49n Solving -5n = 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 = 49n + -49n Combine like terms: -5n + -49n = -54n -54n = 49n + -49n Combine like terms: 49n + -49n = 0 -54n = 0 Divide each side by '-54'. n = 0 Simplifying n = 0
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