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Simplifying 7(3n + 4) = 8(9n + 1) + 1 Reorder the terms: 7(4 + 3n) = 8(9n + 1) + 1 (4 * 7 + 3n * 7) = 8(9n + 1) + 1 (28 + 21n) = 8(9n + 1) + 1 Reorder the terms: 28 + 21n = 8(1 + 9n) + 1 28 + 21n = (1 * 8 + 9n * 8) + 1 28 + 21n = (8 + 72n) + 1 Reorder the terms: 28 + 21n = 8 + 1 + 72n Combine like terms: 8 + 1 = 9 28 + 21n = 9 + 72n Solving 28 + 21n = 9 + 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. 28 + 21n + -72n = 9 + 72n + -72n Combine like terms: 21n + -72n = -51n 28 + -51n = 9 + 72n + -72n Combine like terms: 72n + -72n = 0 28 + -51n = 9 + 0 28 + -51n = 9 Add '-28' to each side of the equation. 28 + -28 + -51n = 9 + -28 Combine like terms: 28 + -28 = 0 0 + -51n = 9 + -28 -51n = 9 + -28 Combine like terms: 9 + -28 = -19 -51n = -19 Divide each side by '-51'. n = 0.3725490196 Simplifying n = 0.3725490196
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