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Simplifying 5(N + 3) = 11(N + -3) Reorder the terms: 5(3 + N) = 11(N + -3) (3 * 5 + N * 5) = 11(N + -3) (15 + 5N) = 11(N + -3) Reorder the terms: 15 + 5N = 11(-3 + N) 15 + 5N = (-3 * 11 + N * 11) 15 + 5N = (-33 + 11N) Solving 15 + 5N = -33 + 11N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-11N' to each side of the equation. 15 + 5N + -11N = -33 + 11N + -11N Combine like terms: 5N + -11N = -6N 15 + -6N = -33 + 11N + -11N Combine like terms: 11N + -11N = 0 15 + -6N = -33 + 0 15 + -6N = -33 Add '-15' to each side of the equation. 15 + -15 + -6N = -33 + -15 Combine like terms: 15 + -15 = 0 0 + -6N = -33 + -15 -6N = -33 + -15 Combine like terms: -33 + -15 = -48 -6N = -48 Divide each side by '-6'. N = 8 Simplifying N = 8
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