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Simplifying 4(3n + 2) = 8(7n + 2) + 7 Reorder the terms: 4(2 + 3n) = 8(7n + 2) + 7 (2 * 4 + 3n * 4) = 8(7n + 2) + 7 (8 + 12n) = 8(7n + 2) + 7 Reorder the terms: 8 + 12n = 8(2 + 7n) + 7 8 + 12n = (2 * 8 + 7n * 8) + 7 8 + 12n = (16 + 56n) + 7 Reorder the terms: 8 + 12n = 16 + 7 + 56n Combine like terms: 16 + 7 = 23 8 + 12n = 23 + 56n Solving 8 + 12n = 23 + 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. 8 + 12n + -56n = 23 + 56n + -56n Combine like terms: 12n + -56n = -44n 8 + -44n = 23 + 56n + -56n Combine like terms: 56n + -56n = 0 8 + -44n = 23 + 0 8 + -44n = 23 Add '-8' to each side of the equation. 8 + -8 + -44n = 23 + -8 Combine like terms: 8 + -8 = 0 0 + -44n = 23 + -8 -44n = 23 + -8 Combine like terms: 23 + -8 = 15 -44n = 15 Divide each side by '-44'. n = -0.3409090909 Simplifying n = -0.3409090909
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