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Simplifying 6(10n + 25) = 10 + 5n Reorder the terms: 6(25 + 10n) = 10 + 5n (25 * 6 + 10n * 6) = 10 + 5n (150 + 60n) = 10 + 5n Solving 150 + 60n = 10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 150 + 60n + -5n = 10 + 5n + -5n Combine like terms: 60n + -5n = 55n 150 + 55n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 150 + 55n = 10 + 0 150 + 55n = 10 Add '-150' to each side of the equation. 150 + -150 + 55n = 10 + -150 Combine like terms: 150 + -150 = 0 0 + 55n = 10 + -150 55n = 10 + -150 Combine like terms: 10 + -150 = -140 55n = -140 Divide each side by '55'. n = -2.545454545 Simplifying n = -2.545454545
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