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Simplifying 7(3n + 2) = 8(7n + 6) + 9 Reorder the terms: 7(2 + 3n) = 8(7n + 6) + 9 (2 * 7 + 3n * 7) = 8(7n + 6) + 9 (14 + 21n) = 8(7n + 6) + 9 Reorder the terms: 14 + 21n = 8(6 + 7n) + 9 14 + 21n = (6 * 8 + 7n * 8) + 9 14 + 21n = (48 + 56n) + 9 Reorder the terms: 14 + 21n = 48 + 9 + 56n Combine like terms: 48 + 9 = 57 14 + 21n = 57 + 56n Solving 14 + 21n = 57 + 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. 14 + 21n + -56n = 57 + 56n + -56n Combine like terms: 21n + -56n = -35n 14 + -35n = 57 + 56n + -56n Combine like terms: 56n + -56n = 0 14 + -35n = 57 + 0 14 + -35n = 57 Add '-14' to each side of the equation. 14 + -14 + -35n = 57 + -14 Combine like terms: 14 + -14 = 0 0 + -35n = 57 + -14 -35n = 57 + -14 Combine like terms: 57 + -14 = 43 -35n = 43 Divide each side by '-35'. n = -1.228571429 Simplifying n = -1.228571429
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