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Simplifying 3m + -8 + m = 12 + -2m + 10 Reorder the terms: -8 + 3m + m = 12 + -2m + 10 Combine like terms: 3m + m = 4m -8 + 4m = 12 + -2m + 10 Reorder the terms: -8 + 4m = 12 + 10 + -2m Combine like terms: 12 + 10 = 22 -8 + 4m = 22 + -2m Solving -8 + 4m = 22 + -2m 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. -8 + 4m + 2m = 22 + -2m + 2m Combine like terms: 4m + 2m = 6m -8 + 6m = 22 + -2m + 2m Combine like terms: -2m + 2m = 0 -8 + 6m = 22 + 0 -8 + 6m = 22 Add '8' to each side of the equation. -8 + 8 + 6m = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 6m = 22 + 8 6m = 22 + 8 Combine like terms: 22 + 8 = 30 6m = 30 Divide each side by '6'. m = 5 Simplifying m = 5
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