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Simplifying 5M + 20 + -1m = 3m + -6 + 9m + -6 Reorder the terms: 20 + 5M + -1m = 3m + -6 + 9m + -6 Reorder the terms: 20 + 5M + -1m = -6 + -6 + 3m + 9m Combine like terms: -6 + -6 = -12 20 + 5M + -1m = -12 + 3m + 9m Combine like terms: 3m + 9m = 12m 20 + 5M + -1m = -12 + 12m Solving 20 + 5M + -1m = -12 + 12m Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 5M + -20 + -1m = -12 + -20 + 12m Reorder the terms: 20 + -20 + 5M + -1m = -12 + -20 + 12m Combine like terms: 20 + -20 = 0 0 + 5M + -1m = -12 + -20 + 12m 5M + -1m = -12 + -20 + 12m Combine like terms: -12 + -20 = -32 5M + -1m = -32 + 12m Add 'm' to each side of the equation. 5M + -1m + m = -32 + 12m + m Combine like terms: -1m + m = 0 5M + 0 = -32 + 12m + m 5M = -32 + 12m + m Combine like terms: 12m + m = 13m 5M = -32 + 13m Divide each side by '5'. M = -6.4 + 2.6m Simplifying M = -6.4 + 2.6m
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