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Simplifying 2m + -5 + 3m + -6 = 9m + 6m + -6 Reorder the terms: -5 + -6 + 2m + 3m = 9m + 6m + -6 Combine like terms: -5 + -6 = -11 -11 + 2m + 3m = 9m + 6m + -6 Combine like terms: 2m + 3m = 5m -11 + 5m = 9m + 6m + -6 Reorder the terms: -11 + 5m = -6 + 9m + 6m Combine like terms: 9m + 6m = 15m -11 + 5m = -6 + 15m Solving -11 + 5m = -6 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. -11 + 5m + -15m = -6 + 15m + -15m Combine like terms: 5m + -15m = -10m -11 + -10m = -6 + 15m + -15m Combine like terms: 15m + -15m = 0 -11 + -10m = -6 + 0 -11 + -10m = -6 Add '11' to each side of the equation. -11 + 11 + -10m = -6 + 11 Combine like terms: -11 + 11 = 0 0 + -10m = -6 + 11 -10m = -6 + 11 Combine like terms: -6 + 11 = 5 -10m = 5 Divide each side by '-10'. m = -0.5 Simplifying m = -0.5
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