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Simplifying 7(n + -2) = 5(n + 4) Reorder the terms: 7(-2 + n) = 5(n + 4) (-2 * 7 + n * 7) = 5(n + 4) (-14 + 7n) = 5(n + 4) Reorder the terms: -14 + 7n = 5(4 + n) -14 + 7n = (4 * 5 + n * 5) -14 + 7n = (20 + 5n) Solving -14 + 7n = 20 + 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 + 7n + -5n = 20 + 5n + -5n Combine like terms: 7n + -5n = 2n -14 + 2n = 20 + 5n + -5n Combine like terms: 5n + -5n = 0 -14 + 2n = 20 + 0 -14 + 2n = 20 Add '14' to each side of the equation. -14 + 14 + 2n = 20 + 14 Combine like terms: -14 + 14 = 0 0 + 2n = 20 + 14 2n = 20 + 14 Combine like terms: 20 + 14 = 34 2n = 34 Divide each side by '2'. n = 17 Simplifying n = 17
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