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Simplifying 5(3n + -1) = 1(4n + 5) + 3 Reorder the terms: 5(-1 + 3n) = 1(4n + 5) + 3 (-1 * 5 + 3n * 5) = 1(4n + 5) + 3 (-5 + 15n) = 1(4n + 5) + 3 Reorder the terms: -5 + 15n = 1(5 + 4n) + 3 -5 + 15n = (5 * 1 + 4n * 1) + 3 -5 + 15n = (5 + 4n) + 3 Reorder the terms: -5 + 15n = 5 + 3 + 4n Combine like terms: 5 + 3 = 8 -5 + 15n = 8 + 4n Solving -5 + 15n = 8 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -5 + 15n + -4n = 8 + 4n + -4n Combine like terms: 15n + -4n = 11n -5 + 11n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 -5 + 11n = 8 + 0 -5 + 11n = 8 Add '5' to each side of the equation. -5 + 5 + 11n = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 11n = 8 + 5 11n = 8 + 5 Combine like terms: 8 + 5 = 13 11n = 13 Divide each side by '11'. n = 1.181818182 Simplifying n = 1.181818182
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