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Simplifying 4(3n + 2) = 7(8n + 7) + 5 Reorder the terms: 4(2 + 3n) = 7(8n + 7) + 5 (2 * 4 + 3n * 4) = 7(8n + 7) + 5 (8 + 12n) = 7(8n + 7) + 5 Reorder the terms: 8 + 12n = 7(7 + 8n) + 5 8 + 12n = (7 * 7 + 8n * 7) + 5 8 + 12n = (49 + 56n) + 5 Reorder the terms: 8 + 12n = 49 + 5 + 56n Combine like terms: 49 + 5 = 54 8 + 12n = 54 + 56n Solving 8 + 12n = 54 + 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 = 54 + 56n + -56n Combine like terms: 12n + -56n = -44n 8 + -44n = 54 + 56n + -56n Combine like terms: 56n + -56n = 0 8 + -44n = 54 + 0 8 + -44n = 54 Add '-8' to each side of the equation. 8 + -8 + -44n = 54 + -8 Combine like terms: 8 + -8 = 0 0 + -44n = 54 + -8 -44n = 54 + -8 Combine like terms: 54 + -8 = 46 -44n = 46 Divide each side by '-44'. n = -1.045454545 Simplifying n = -1.045454545
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