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Simplifying m + 6 = -9 + -4m Reorder the terms: 6 + m = -9 + -4m Solving 6 + m = -9 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 6 + m + 4m = -9 + -4m + 4m Combine like terms: m + 4m = 5m 6 + 5m = -9 + -4m + 4m Combine like terms: -4m + 4m = 0 6 + 5m = -9 + 0 6 + 5m = -9 Add '-6' to each side of the equation. 6 + -6 + 5m = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 5m = -9 + -6 5m = -9 + -6 Combine like terms: -9 + -6 = -15 5m = -15 Divide each side by '5'. m = -3 Simplifying m = -3
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