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Simplifying 4n + -7 = -7(1 + 7n) Reorder the terms: -7 + 4n = -7(1 + 7n) -7 + 4n = (1 * -7 + 7n * -7) -7 + 4n = (-7 + -49n) Add '7' to each side of the equation. -7 + 7 + 4n = -7 + 7 + -49n Combine like terms: -7 + 7 = 0 0 + 4n = -7 + 7 + -49n 4n = -7 + 7 + -49n Combine like terms: -7 + 7 = 0 4n = 0 + -49n 4n = -49n Solving 4n = -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. 4n + 49n = -49n + 49n Combine like terms: 4n + 49n = 53n 53n = -49n + 49n Combine like terms: -49n + 49n = 0 53n = 0 Divide each side by '53'. n = 0 Simplifying n = 0
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