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Simplifying 5(2n + -1) = (3n + 1) + 4 Reorder the terms: 5(-1 + 2n) = (3n + 1) + 4 (-1 * 5 + 2n * 5) = (3n + 1) + 4 (-5 + 10n) = (3n + 1) + 4 Reorder the terms: -5 + 10n = (1 + 3n) + 4 Remove parenthesis around (1 + 3n) -5 + 10n = 1 + 3n + 4 Reorder the terms: -5 + 10n = 1 + 4 + 3n Combine like terms: 1 + 4 = 5 -5 + 10n = 5 + 3n Solving -5 + 10n = 5 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -5 + 10n + -3n = 5 + 3n + -3n Combine like terms: 10n + -3n = 7n -5 + 7n = 5 + 3n + -3n Combine like terms: 3n + -3n = 0 -5 + 7n = 5 + 0 -5 + 7n = 5 Add '5' to each side of the equation. -5 + 5 + 7n = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 7n = 5 + 5 7n = 5 + 5 Combine like terms: 5 + 5 = 10 7n = 10 Divide each side by '7'. n = 1.428571429 Simplifying n = 1.428571429
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