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Simplifying 8m + m + -4m + 6m + -2 = 31 Reorder the terms: -2 + 8m + m + -4m + 6m = 31 Combine like terms: 8m + m = 9m -2 + 9m + -4m + 6m = 31 Combine like terms: 9m + -4m = 5m -2 + 5m + 6m = 31 Combine like terms: 5m + 6m = 11m -2 + 11m = 31 Solving -2 + 11m = 31 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 + 11m = 31 + 2 Combine like terms: -2 + 2 = 0 0 + 11m = 31 + 2 11m = 31 + 2 Combine like terms: 31 + 2 = 33 11m = 33 Divide each side by '11'. m = 3 Simplifying m = 3
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