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Simplifying 5(n + 2) = 17 + -2n Reorder the terms: 5(2 + n) = 17 + -2n (2 * 5 + n * 5) = 17 + -2n (10 + 5n) = 17 + -2n Solving 10 + 5n = 17 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 10 + 5n + 2n = 17 + -2n + 2n Combine like terms: 5n + 2n = 7n 10 + 7n = 17 + -2n + 2n Combine like terms: -2n + 2n = 0 10 + 7n = 17 + 0 10 + 7n = 17 Add '-10' to each side of the equation. 10 + -10 + 7n = 17 + -10 Combine like terms: 10 + -10 = 0 0 + 7n = 17 + -10 7n = 17 + -10 Combine like terms: 17 + -10 = 7 7n = 7 Divide each side by '7'. n = 1 Simplifying n = 1
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