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Simplifying 4(3n + 1) = 8(7n + 9) + 6 Reorder the terms: 4(1 + 3n) = 8(7n + 9) + 6 (1 * 4 + 3n * 4) = 8(7n + 9) + 6 (4 + 12n) = 8(7n + 9) + 6 Reorder the terms: 4 + 12n = 8(9 + 7n) + 6 4 + 12n = (9 * 8 + 7n * 8) + 6 4 + 12n = (72 + 56n) + 6 Reorder the terms: 4 + 12n = 72 + 6 + 56n Combine like terms: 72 + 6 = 78 4 + 12n = 78 + 56n Solving 4 + 12n = 78 + 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. 4 + 12n + -56n = 78 + 56n + -56n Combine like terms: 12n + -56n = -44n 4 + -44n = 78 + 56n + -56n Combine like terms: 56n + -56n = 0 4 + -44n = 78 + 0 4 + -44n = 78 Add '-4' to each side of the equation. 4 + -4 + -44n = 78 + -4 Combine like terms: 4 + -4 = 0 0 + -44n = 78 + -4 -44n = 78 + -4 Combine like terms: 78 + -4 = 74 -44n = 74 Divide each side by '-44'. n = -1.681818182 Simplifying n = -1.681818182
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