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Simplifying 9m + -2 + -4m + m = 42 + -8 Reorder the terms: -2 + 9m + -4m + m = 42 + -8 Combine like terms: 9m + -4m = 5m -2 + 5m + m = 42 + -8 Combine like terms: 5m + m = 6m -2 + 6m = 42 + -8 Combine like terms: 42 + -8 = 34 -2 + 6m = 34 Solving -2 + 6m = 34 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6m = 34 + 2 Combine like terms: -2 + 2 = 0 0 + 6m = 34 + 2 6m = 34 + 2 Combine like terms: 34 + 2 = 36 6m = 36 Divide each side by '6'. m = 6 Simplifying m = 6
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