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Simplifying 2(n + 7) = 7 + -5(n + -7) Reorder the terms: 2(7 + n) = 7 + -5(n + -7) (7 * 2 + n * 2) = 7 + -5(n + -7) (14 + 2n) = 7 + -5(n + -7) Reorder the terms: 14 + 2n = 7 + -5(-7 + n) 14 + 2n = 7 + (-7 * -5 + n * -5) 14 + 2n = 7 + (35 + -5n) Combine like terms: 7 + 35 = 42 14 + 2n = 42 + -5n Solving 14 + 2n = 42 + -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 + 2n + 5n = 42 + -5n + 5n Combine like terms: 2n + 5n = 7n 14 + 7n = 42 + -5n + 5n Combine like terms: -5n + 5n = 0 14 + 7n = 42 + 0 14 + 7n = 42 Add '-14' to each side of the equation. 14 + -14 + 7n = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 7n = 42 + -14 7n = 42 + -14 Combine like terms: 42 + -14 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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