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Simplifying 3n + 7 = 7(1 + 8n) Reorder the terms: 7 + 3n = 7(1 + 8n) 7 + 3n = (1 * 7 + 8n * 7) 7 + 3n = (7 + 56n) Add '-7' to each side of the equation. 7 + -7 + 3n = 7 + -7 + 56n Combine like terms: 7 + -7 = 0 0 + 3n = 7 + -7 + 56n 3n = 7 + -7 + 56n Combine like terms: 7 + -7 = 0 3n = 0 + 56n 3n = 56n Solving 3n = 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 3n + -56n = 56n + -56n Combine like terms: 3n + -56n = -53n -53n = 56n + -56n Combine like terms: 56n + -56n = 0 -53n = 0 Divide each side by '-53'. n = 0 Simplifying n = 0
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