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Simplifying 5(5n + 6) = 10n + 4 Reorder the terms: 5(6 + 5n) = 10n + 4 (6 * 5 + 5n * 5) = 10n + 4 (30 + 25n) = 10n + 4 Reorder the terms: 30 + 25n = 4 + 10n Solving 30 + 25n = 4 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 30 + 25n + -10n = 4 + 10n + -10n Combine like terms: 25n + -10n = 15n 30 + 15n = 4 + 10n + -10n Combine like terms: 10n + -10n = 0 30 + 15n = 4 + 0 30 + 15n = 4 Add '-30' to each side of the equation. 30 + -30 + 15n = 4 + -30 Combine like terms: 30 + -30 = 0 0 + 15n = 4 + -30 15n = 4 + -30 Combine like terms: 4 + -30 = -26 15n = -26 Divide each side by '15'. n = -1.733333333 Simplifying n = -1.733333333
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