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Simplifying 7(2n + -2) = (5n + 9) + 3 Reorder the terms: 7(-2 + 2n) = (5n + 9) + 3 (-2 * 7 + 2n * 7) = (5n + 9) + 3 (-14 + 14n) = (5n + 9) + 3 Reorder the terms: -14 + 14n = (9 + 5n) + 3 Remove parenthesis around (9 + 5n) -14 + 14n = 9 + 5n + 3 Reorder the terms: -14 + 14n = 9 + 3 + 5n Combine like terms: 9 + 3 = 12 -14 + 14n = 12 + 5n Solving -14 + 14n = 12 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -14 + 14n + -5n = 12 + 5n + -5n Combine like terms: 14n + -5n = 9n -14 + 9n = 12 + 5n + -5n Combine like terms: 5n + -5n = 0 -14 + 9n = 12 + 0 -14 + 9n = 12 Add '14' to each side of the equation. -14 + 14 + 9n = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 9n = 12 + 14 9n = 12 + 14 Combine like terms: 12 + 14 = 26 9n = 26 Divide each side by '9'. n = 2.888888889 Simplifying n = 2.888888889
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