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Simplifying 23 + -2m = 3m + -12 Reorder the terms: 23 + -2m = -12 + 3m Solving 23 + -2m = -12 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 23 + -2m + -3m = -12 + 3m + -3m Combine like terms: -2m + -3m = -5m 23 + -5m = -12 + 3m + -3m Combine like terms: 3m + -3m = 0 23 + -5m = -12 + 0 23 + -5m = -12 Add '-23' to each side of the equation. 23 + -23 + -5m = -12 + -23 Combine like terms: 23 + -23 = 0 0 + -5m = -12 + -23 -5m = -12 + -23 Combine like terms: -12 + -23 = -35 -5m = -35 Divide each side by '-5'. m = 7 Simplifying m = 7
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