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Simplifying -8n + 7 = 7(1 + 3n) Reorder the terms: 7 + -8n = 7(1 + 3n) 7 + -8n = (1 * 7 + 3n * 7) 7 + -8n = (7 + 21n) Add '-7' to each side of the equation. 7 + -7 + -8n = 7 + -7 + 21n Combine like terms: 7 + -7 = 0 0 + -8n = 7 + -7 + 21n -8n = 7 + -7 + 21n Combine like terms: 7 + -7 = 0 -8n = 0 + 21n -8n = 21n Solving -8n = 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. -8n + -21n = 21n + -21n Combine like terms: -8n + -21n = -29n -29n = 21n + -21n Combine like terms: 21n + -21n = 0 -29n = 0 Divide each side by '-29'. n = 0 Simplifying n = 0
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