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Simplifying 5(2n + 1) = 5(9n + 1) + 6 Reorder the terms: 5(1 + 2n) = 5(9n + 1) + 6 (1 * 5 + 2n * 5) = 5(9n + 1) + 6 (5 + 10n) = 5(9n + 1) + 6 Reorder the terms: 5 + 10n = 5(1 + 9n) + 6 5 + 10n = (1 * 5 + 9n * 5) + 6 5 + 10n = (5 + 45n) + 6 Reorder the terms: 5 + 10n = 5 + 6 + 45n Combine like terms: 5 + 6 = 11 5 + 10n = 11 + 45n Solving 5 + 10n = 11 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 5 + 10n + -45n = 11 + 45n + -45n Combine like terms: 10n + -45n = -35n 5 + -35n = 11 + 45n + -45n Combine like terms: 45n + -45n = 0 5 + -35n = 11 + 0 5 + -35n = 11 Add '-5' to each side of the equation. 5 + -5 + -35n = 11 + -5 Combine like terms: 5 + -5 = 0 0 + -35n = 11 + -5 -35n = 11 + -5 Combine like terms: 11 + -5 = 6 -35n = 6 Divide each side by '-35'. n = -0.1714285714 Simplifying n = -0.1714285714
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