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Simplifying 5m + 9 = m + 82 + 1 Reorder the terms: 9 + 5m = m + 82 + 1 Reorder the terms: 9 + 5m = 82 + 1 + m Combine like terms: 82 + 1 = 83 9 + 5m = 83 + m Solving 9 + 5m = 83 + 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 = 83 + m + -1m Combine like terms: 5m + -1m = 4m 9 + 4m = 83 + m + -1m Combine like terms: m + -1m = 0 9 + 4m = 83 + 0 9 + 4m = 83 Add '-9' to each side of the equation. 9 + -9 + 4m = 83 + -9 Combine like terms: 9 + -9 = 0 0 + 4m = 83 + -9 4m = 83 + -9 Combine like terms: 83 + -9 = 74 4m = 74 Divide each side by '4'. m = 18.5 Simplifying m = 18.5
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