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Simplifying 3n = 7(5n + 6) Reorder the terms: 3n = 7(6 + 5n) 3n = (6 * 7 + 5n * 7) 3n = (42 + 35n) Solving 3n = 42 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 3n + -35n = 42 + 35n + -35n Combine like terms: 3n + -35n = -32n -32n = 42 + 35n + -35n Combine like terms: 35n + -35n = 0 -32n = 42 + 0 -32n = 42 Divide each side by '-32'. n = -1.3125 Simplifying n = -1.3125
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