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Simplifying 11 + -2N(N + 5 + -1M + -3N + 8) = 0 Reorder the terms: 11 + -2N(5 + 8 + -1M + N + -3N) = 0 Combine like terms: 5 + 8 = 13 11 + -2N(13 + -1M + N + -3N) = 0 Combine like terms: N + -3N = -2N 11 + -2N(13 + -1M + -2N) = 0 11 + (13 * -2N + -1M * -2N + -2N * -2N) = 0 Reorder the terms: 11 + (2MN + -26N + 4N2) = 0 11 + (2MN + -26N + 4N2) = 0 Solving 11 + 2MN + -26N + 4N2 = 0 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 2MN + -26N + -11 + 4N2 = 0 + -11 Reorder the terms: 11 + -11 + 2MN + -26N + 4N2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2MN + -26N + 4N2 = 0 + -11 2MN + -26N + 4N2 = 0 + -11 Combine like terms: 0 + -11 = -11 2MN + -26N + 4N2 = -11 Add '26N' to each side of the equation. 2MN + -26N + 26N + 4N2 = -11 + 26N Combine like terms: -26N + 26N = 0 2MN + 0 + 4N2 = -11 + 26N 2MN + 4N2 = -11 + 26N Add '-4N2' to each side of the equation. 2MN + 4N2 + -4N2 = -11 + 26N + -4N2 Combine like terms: 4N2 + -4N2 = 0 2MN + 0 = -11 + 26N + -4N2 2MN = -11 + 26N + -4N2 Divide each side by '2N'. M = -5.5N-1 + 13 + -2N Simplifying M = -5.5N-1 + 13 + -2N Reorder the terms: M = 13 + -5.5N-1 + -2N
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