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