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Simplifying 3m + 8 + -5m = 2m + 12 Reorder the terms: 8 + 3m + -5m = 2m + 12 Combine like terms: 3m + -5m = -2m 8 + -2m = 2m + 12 Reorder the terms: 8 + -2m = 12 + 2m Solving 8 + -2m = 12 + 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 + -2m + -2m = 12 + 2m + -2m Combine like terms: -2m + -2m = -4m 8 + -4m = 12 + 2m + -2m Combine like terms: 2m + -2m = 0 8 + -4m = 12 + 0 8 + -4m = 12 Add '-8' to each side of the equation. 8 + -8 + -4m = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -4m = 12 + -8 -4m = 12 + -8 Combine like terms: 12 + -8 = 4 -4m = 4 Divide each side by '-4'. m = -1 Simplifying m = -1
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