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Simplifying 6m + 8 + -8m = 3m + -12 Reorder the terms: 8 + 6m + -8m = 3m + -12 Combine like terms: 6m + -8m = -2m 8 + -2m = 3m + -12 Reorder the terms: 8 + -2m = -12 + 3m Solving 8 + -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. 8 + -2m + -3m = -12 + 3m + -3m Combine like terms: -2m + -3m = -5m 8 + -5m = -12 + 3m + -3m Combine like terms: 3m + -3m = 0 8 + -5m = -12 + 0 8 + -5m = -12 Add '-8' to each side of the equation. 8 + -8 + -5m = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -5m = -12 + -8 -5m = -12 + -8 Combine like terms: -12 + -8 = -20 -5m = -20 Divide each side by '-5'. m = 4 Simplifying m = 4
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