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Simplifying 10m + -2 = 12m + 3 Reorder the terms: -2 + 10m = 12m + 3 Reorder the terms: -2 + 10m = 3 + 12m Solving -2 + 10m = 3 + 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. -2 + 10m + -12m = 3 + 12m + -12m Combine like terms: 10m + -12m = -2m -2 + -2m = 3 + 12m + -12m Combine like terms: 12m + -12m = 0 -2 + -2m = 3 + 0 -2 + -2m = 3 Add '2' to each side of the equation. -2 + 2 + -2m = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -2m = 3 + 2 -2m = 3 + 2 Combine like terms: 3 + 2 = 5 -2m = 5 Divide each side by '-2'. m = -2.5 Simplifying m = -2.5
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