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Simplifying 4(3n + 3) = 8(7n + 6) + 2 Reorder the terms: 4(3 + 3n) = 8(7n + 6) + 2 (3 * 4 + 3n * 4) = 8(7n + 6) + 2 (12 + 12n) = 8(7n + 6) + 2 Reorder the terms: 12 + 12n = 8(6 + 7n) + 2 12 + 12n = (6 * 8 + 7n * 8) + 2 12 + 12n = (48 + 56n) + 2 Reorder the terms: 12 + 12n = 48 + 2 + 56n Combine like terms: 48 + 2 = 50 12 + 12n = 50 + 56n Solving 12 + 12n = 50 + 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. 12 + 12n + -56n = 50 + 56n + -56n Combine like terms: 12n + -56n = -44n 12 + -44n = 50 + 56n + -56n Combine like terms: 56n + -56n = 0 12 + -44n = 50 + 0 12 + -44n = 50 Add '-12' to each side of the equation. 12 + -12 + -44n = 50 + -12 Combine like terms: 12 + -12 = 0 0 + -44n = 50 + -12 -44n = 50 + -12 Combine like terms: 50 + -12 = 38 -44n = 38 Divide each side by '-44'. n = -0.8636363636 Simplifying n = -0.8636363636
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