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Simplifying 3(N + 17) = 2(5 + -3N) Reorder the terms: 3(17 + N) = 2(5 + -3N) (17 * 3 + N * 3) = 2(5 + -3N) (51 + 3N) = 2(5 + -3N) 51 + 3N = (5 * 2 + -3N * 2) 51 + 3N = (10 + -6N) Solving 51 + 3N = 10 + -6N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '6N' to each side of the equation. 51 + 3N + 6N = 10 + -6N + 6N Combine like terms: 3N + 6N = 9N 51 + 9N = 10 + -6N + 6N Combine like terms: -6N + 6N = 0 51 + 9N = 10 + 0 51 + 9N = 10 Add '-51' to each side of the equation. 51 + -51 + 9N = 10 + -51 Combine like terms: 51 + -51 = 0 0 + 9N = 10 + -51 9N = 10 + -51 Combine like terms: 10 + -51 = -41 9N = -41 Divide each side by '9'. N = -4.555555556 Simplifying N = -4.555555556
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