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Simplifying 6m + 12 = 2m + -5n Reorder the terms: 12 + 6m = 2m + -5n Solving 12 + 6m = 2m + -5n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 12 + 6m + -2m = 2m + -2m + -5n Combine like terms: 6m + -2m = 4m 12 + 4m = 2m + -2m + -5n Combine like terms: 2m + -2m = 0 12 + 4m = 0 + -5n 12 + 4m = -5n Add '-12' to each side of the equation. 12 + -12 + 4m = -12 + -5n Combine like terms: 12 + -12 = 0 0 + 4m = -12 + -5n 4m = -12 + -5n Divide each side by '4'. m = -3 + -1.25n Simplifying m = -3 + -1.25n
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