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Simplifying 7(2n + -2) = (9n + 2) + 5 Reorder the terms: 7(-2 + 2n) = (9n + 2) + 5 (-2 * 7 + 2n * 7) = (9n + 2) + 5 (-14 + 14n) = (9n + 2) + 5 Reorder the terms: -14 + 14n = (2 + 9n) + 5 Remove parenthesis around (2 + 9n) -14 + 14n = 2 + 9n + 5 Reorder the terms: -14 + 14n = 2 + 5 + 9n Combine like terms: 2 + 5 = 7 -14 + 14n = 7 + 9n Solving -14 + 14n = 7 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -14 + 14n + -9n = 7 + 9n + -9n Combine like terms: 14n + -9n = 5n -14 + 5n = 7 + 9n + -9n Combine like terms: 9n + -9n = 0 -14 + 5n = 7 + 0 -14 + 5n = 7 Add '14' to each side of the equation. -14 + 14 + 5n = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 5n = 7 + 14 5n = 7 + 14 Combine like terms: 7 + 14 = 21 5n = 21 Divide each side by '5'. n = 4.2 Simplifying n = 4.2
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