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Simplifying 6m + 5M = 12 + 7M Reorder the terms: 5M + 6m = 12 + 7M Solving 5M + 6m = 12 + 7M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-7M' to each side of the equation. 5M + -7M + 6m = 12 + 7M + -7M Combine like terms: 5M + -7M = -2M -2M + 6m = 12 + 7M + -7M Combine like terms: 7M + -7M = 0 -2M + 6m = 12 + 0 -2M + 6m = 12 Add '-6m' to each side of the equation. -2M + 6m + -6m = 12 + -6m Combine like terms: 6m + -6m = 0 -2M + 0 = 12 + -6m -2M = 12 + -6m Divide each side by '-2'. M = -6 + 3m Simplifying M = -6 + 3m
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