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Simplifying 12m + -5 = 9m + 10 Reorder the terms: -5 + 12m = 9m + 10 Reorder the terms: -5 + 12m = 10 + 9m Solving -5 + 12m = 10 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -5 + 12m + -9m = 10 + 9m + -9m Combine like terms: 12m + -9m = 3m -5 + 3m = 10 + 9m + -9m Combine like terms: 9m + -9m = 0 -5 + 3m = 10 + 0 -5 + 3m = 10 Add '5' to each side of the equation. -5 + 5 + 3m = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 3m = 10 + 5 3m = 10 + 5 Combine like terms: 10 + 5 = 15 3m = 15 Divide each side by '3'. m = 5 Simplifying m = 5
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