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Simplifying 7(2n + -2) = (3n + 6) + 4 Reorder the terms: 7(-2 + 2n) = (3n + 6) + 4 (-2 * 7 + 2n * 7) = (3n + 6) + 4 (-14 + 14n) = (3n + 6) + 4 Reorder the terms: -14 + 14n = (6 + 3n) + 4 Remove parenthesis around (6 + 3n) -14 + 14n = 6 + 3n + 4 Reorder the terms: -14 + 14n = 6 + 4 + 3n Combine like terms: 6 + 4 = 10 -14 + 14n = 10 + 3n Solving -14 + 14n = 10 + 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. -14 + 14n + -3n = 10 + 3n + -3n Combine like terms: 14n + -3n = 11n -14 + 11n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 -14 + 11n = 10 + 0 -14 + 11n = 10 Add '14' to each side of the equation. -14 + 14 + 11n = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 11n = 10 + 14 11n = 10 + 14 Combine like terms: 10 + 14 = 24 11n = 24 Divide each side by '11'. n = 2.181818182 Simplifying n = 2.181818182
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