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Simplifying 3m + 7M + 6N + 9n = 0 Reorder the terms: 7M + 6N + 3m + 9n = 0 Solving 7M + 6N + 3m + 9n = 0 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-6N' to each side of the equation. 7M + 6N + 3m + -6N + 9n = 0 + -6N Reorder the terms: 7M + 6N + -6N + 3m + 9n = 0 + -6N Combine like terms: 6N + -6N = 0 7M + 0 + 3m + 9n = 0 + -6N 7M + 3m + 9n = 0 + -6N Remove the zero: 7M + 3m + 9n = -6N Add '-3m' to each side of the equation. 7M + 3m + -3m + 9n = -6N + -3m Combine like terms: 3m + -3m = 0 7M + 0 + 9n = -6N + -3m 7M + 9n = -6N + -3m Add '-9n' to each side of the equation. 7M + 9n + -9n = -6N + -3m + -9n Combine like terms: 9n + -9n = 0 7M + 0 = -6N + -3m + -9n 7M = -6N + -3m + -9n Divide each side by '7'. M = -0.8571428571N + -0.4285714286m + -1.285714286n Simplifying M = -0.8571428571N + -0.4285714286m + -1.285714286n
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