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Simplifying 4m + 6 = -12 + -5m Reorder the terms: 6 + 4m = -12 + -5m Solving 6 + 4m = -12 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 6 + 4m + 5m = -12 + -5m + 5m Combine like terms: 4m + 5m = 9m 6 + 9m = -12 + -5m + 5m Combine like terms: -5m + 5m = 0 6 + 9m = -12 + 0 6 + 9m = -12 Add '-6' to each side of the equation. 6 + -6 + 9m = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 9m = -12 + -6 9m = -12 + -6 Combine like terms: -12 + -6 = -18 9m = -18 Divide each side by '9'. m = -2 Simplifying m = -2
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