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Simplifying 342 = 6(10n + 7) Reorder the terms: 342 = 6(7 + 10n) 342 = (7 * 6 + 10n * 6) 342 = (42 + 60n) Solving 342 = 42 + 60n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-60n' to each side of the equation. 342 + -60n = 42 + 60n + -60n Combine like terms: 60n + -60n = 0 342 + -60n = 42 + 0 342 + -60n = 42 Add '-342' to each side of the equation. 342 + -342 + -60n = 42 + -342 Combine like terms: 342 + -342 = 0 0 + -60n = 42 + -342 -60n = 42 + -342 Combine like terms: 42 + -342 = -300 -60n = -300 Divide each side by '-60'. n = 5 Simplifying n = 5
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