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Simplifying 5m + 4n + 6M + 8n = 0 Reorder the terms: 6M + 5m + 4n + 8n = 0 Combine like terms: 4n + 8n = 12n 6M + 5m + 12n = 0 Solving 6M + 5m + 12n = 0 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-5m' to each side of the equation. 6M + 5m + -5m + 12n = 0 + -5m Combine like terms: 5m + -5m = 0 6M + 0 + 12n = 0 + -5m 6M + 12n = 0 + -5m Remove the zero: 6M + 12n = -5m Add '-12n' to each side of the equation. 6M + 12n + -12n = -5m + -12n Combine like terms: 12n + -12n = 0 6M + 0 = -5m + -12n 6M = -5m + -12n Divide each side by '6'. M = -0.8333333333m + -2n Simplifying M = -0.8333333333m + -2n
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