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