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Simplifying 15m + -1(-3M + 7n) + -5m = 0 15m + (-3M * -1 + 7n * -1) + -5m = 0 15m + (3M + -7n) + -5m = 0 Reorder the terms: 3M + 15m + -5m + -7n = 0 Combine like terms: 15m + -5m = 10m 3M + 10m + -7n = 0 Solving 3M + 10m + -7n = 0 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-10m' to each side of the equation. 3M + 10m + -10m + -7n = 0 + -10m Combine like terms: 10m + -10m = 0 3M + 0 + -7n = 0 + -10m 3M + -7n = 0 + -10m Remove the zero: 3M + -7n = -10m Add '7n' to each side of the equation. 3M + -7n + 7n = -10m + 7n Combine like terms: -7n + 7n = 0 3M + 0 = -10m + 7n 3M = -10m + 7n Divide each side by '3'. M = -3.333333333m + 2.333333333n Simplifying M = -3.333333333m + 2.333333333n
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