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Simplifying m + -9 + 4m = m + 31 Reorder the terms: -9 + m + 4m = m + 31 Combine like terms: m + 4m = 5m -9 + 5m = m + 31 Reorder the terms: -9 + 5m = 31 + m Solving -9 + 5m = 31 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -9 + 5m + -1m = 31 + m + -1m Combine like terms: 5m + -1m = 4m -9 + 4m = 31 + m + -1m Combine like terms: m + -1m = 0 -9 + 4m = 31 + 0 -9 + 4m = 31 Add '9' to each side of the equation. -9 + 9 + 4m = 31 + 9 Combine like terms: -9 + 9 = 0 0 + 4m = 31 + 9 4m = 31 + 9 Combine like terms: 31 + 9 = 40 4m = 40 Divide each side by '4'. m = 10 Simplifying m = 10
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