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Simplifying 6(2n + 5) = 7(8n + 7) + 3 Reorder the terms: 6(5 + 2n) = 7(8n + 7) + 3 (5 * 6 + 2n * 6) = 7(8n + 7) + 3 (30 + 12n) = 7(8n + 7) + 3 Reorder the terms: 30 + 12n = 7(7 + 8n) + 3 30 + 12n = (7 * 7 + 8n * 7) + 3 30 + 12n = (49 + 56n) + 3 Reorder the terms: 30 + 12n = 49 + 3 + 56n Combine like terms: 49 + 3 = 52 30 + 12n = 52 + 56n Solving 30 + 12n = 52 + 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. 30 + 12n + -56n = 52 + 56n + -56n Combine like terms: 12n + -56n = -44n 30 + -44n = 52 + 56n + -56n Combine like terms: 56n + -56n = 0 30 + -44n = 52 + 0 30 + -44n = 52 Add '-30' to each side of the equation. 30 + -30 + -44n = 52 + -30 Combine like terms: 30 + -30 = 0 0 + -44n = 52 + -30 -44n = 52 + -30 Combine like terms: 52 + -30 = 22 -44n = 22 Divide each side by '-44'. n = -0.5 Simplifying n = -0.5
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