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Simplifying 7(3n + -2) = (7n + 2) + 8 Reorder the terms: 7(-2 + 3n) = (7n + 2) + 8 (-2 * 7 + 3n * 7) = (7n + 2) + 8 (-14 + 21n) = (7n + 2) + 8 Reorder the terms: -14 + 21n = (2 + 7n) + 8 Remove parenthesis around (2 + 7n) -14 + 21n = 2 + 7n + 8 Reorder the terms: -14 + 21n = 2 + 8 + 7n Combine like terms: 2 + 8 = 10 -14 + 21n = 10 + 7n Solving -14 + 21n = 10 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -14 + 21n + -7n = 10 + 7n + -7n Combine like terms: 21n + -7n = 14n -14 + 14n = 10 + 7n + -7n Combine like terms: 7n + -7n = 0 -14 + 14n = 10 + 0 -14 + 14n = 10 Add '14' to each side of the equation. -14 + 14 + 14n = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 14n = 10 + 14 14n = 10 + 14 Combine like terms: 10 + 14 = 24 14n = 24 Divide each side by '14'. n = 1.714285714 Simplifying n = 1.714285714
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