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Simplifying 6m + -5 = 10m + 7 + 2m Reorder the terms: -5 + 6m = 10m + 7 + 2m Reorder the terms: -5 + 6m = 7 + 10m + 2m Combine like terms: 10m + 2m = 12m -5 + 6m = 7 + 12m Solving -5 + 6m = 7 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -5 + 6m + -12m = 7 + 12m + -12m Combine like terms: 6m + -12m = -6m -5 + -6m = 7 + 12m + -12m Combine like terms: 12m + -12m = 0 -5 + -6m = 7 + 0 -5 + -6m = 7 Add '5' to each side of the equation. -5 + 5 + -6m = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -6m = 7 + 5 -6m = 7 + 5 Combine like terms: 7 + 5 = 12 -6m = 12 Divide each side by '-6'. m = -2 Simplifying m = -2
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