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Simplifying 5(2n + -1) = (3n + 7) + 5 Reorder the terms: 5(-1 + 2n) = (3n + 7) + 5 (-1 * 5 + 2n * 5) = (3n + 7) + 5 (-5 + 10n) = (3n + 7) + 5 Reorder the terms: -5 + 10n = (7 + 3n) + 5 Remove parenthesis around (7 + 3n) -5 + 10n = 7 + 3n + 5 Reorder the terms: -5 + 10n = 7 + 5 + 3n Combine like terms: 7 + 5 = 12 -5 + 10n = 12 + 3n Solving -5 + 10n = 12 + 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 = 12 + 3n + -3n Combine like terms: 10n + -3n = 7n -5 + 7n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 -5 + 7n = 12 + 0 -5 + 7n = 12 Add '5' to each side of the equation. -5 + 5 + 7n = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 7n = 12 + 5 7n = 12 + 5 Combine like terms: 12 + 5 = 17 7n = 17 Divide each side by '7'. n = 2.428571429 Simplifying n = 2.428571429
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