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Simplifying 6 + 4(6n + 7) = 122 Reorder the terms: 6 + 4(7 + 6n) = 122 6 + (7 * 4 + 6n * 4) = 122 6 + (28 + 24n) = 122 Combine like terms: 6 + 28 = 34 34 + 24n = 122 Solving 34 + 24n = 122 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 24n = 122 + -34 Combine like terms: 34 + -34 = 0 0 + 24n = 122 + -34 24n = 122 + -34 Combine like terms: 122 + -34 = 88 24n = 88 Divide each side by '24'. n = 3.666666667 Simplifying n = 3.666666667
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