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Simplifying 7(3n + 1) = 8(9n + 5) + 8 Reorder the terms: 7(1 + 3n) = 8(9n + 5) + 8 (1 * 7 + 3n * 7) = 8(9n + 5) + 8 (7 + 21n) = 8(9n + 5) + 8 Reorder the terms: 7 + 21n = 8(5 + 9n) + 8 7 + 21n = (5 * 8 + 9n * 8) + 8 7 + 21n = (40 + 72n) + 8 Reorder the terms: 7 + 21n = 40 + 8 + 72n Combine like terms: 40 + 8 = 48 7 + 21n = 48 + 72n Solving 7 + 21n = 48 + 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 7 + 21n + -72n = 48 + 72n + -72n Combine like terms: 21n + -72n = -51n 7 + -51n = 48 + 72n + -72n Combine like terms: 72n + -72n = 0 7 + -51n = 48 + 0 7 + -51n = 48 Add '-7' to each side of the equation. 7 + -7 + -51n = 48 + -7 Combine like terms: 7 + -7 = 0 0 + -51n = 48 + -7 -51n = 48 + -7 Combine like terms: 48 + -7 = 41 -51n = 41 Divide each side by '-51'. n = -0.8039215686 Simplifying n = -0.8039215686
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