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Simplifying 3(N + 4M) + 2(3N + 4M) = 0 Reorder the terms: 3(4M + N) + 2(3N + 4M) = 0 (4M * 3 + N * 3) + 2(3N + 4M) = 0 (12M + 3N) + 2(3N + 4M) = 0 Reorder the terms: 12M + 3N + 2(4M + 3N) = 0 12M + 3N + (4M * 2 + 3N * 2) = 0 12M + 3N + (8M + 6N) = 0 Reorder the terms: 12M + 8M + 3N + 6N = 0 Combine like terms: 12M + 8M = 20M 20M + 3N + 6N = 0 Combine like terms: 3N + 6N = 9N 20M + 9N = 0 Solving 20M + 9N = 0 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-9N' to each side of the equation. 20M + 9N + -9N = 0 + -9N Combine like terms: 9N + -9N = 0 20M + 0 = 0 + -9N 20M = 0 + -9N Remove the zero: 20M = -9N Divide each side by '20'. M = -0.45N Simplifying M = -0.45N
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