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Simplifying 3m + 12 = 8m + -23 Reorder the terms: 12 + 3m = 8m + -23 Reorder the terms: 12 + 3m = -23 + 8m Solving 12 + 3m = -23 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 12 + 3m + -8m = -23 + 8m + -8m Combine like terms: 3m + -8m = -5m 12 + -5m = -23 + 8m + -8m Combine like terms: 8m + -8m = 0 12 + -5m = -23 + 0 12 + -5m = -23 Add '-12' to each side of the equation. 12 + -12 + -5m = -23 + -12 Combine like terms: 12 + -12 = 0 0 + -5m = -23 + -12 -5m = -23 + -12 Combine like terms: -23 + -12 = -35 -5m = -35 Divide each side by '-5'. m = 7 Simplifying m = 7
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