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Simplifying 3m + -2 = -5m + 9 Reorder the terms: -2 + 3m = -5m + 9 Reorder the terms: -2 + 3m = 9 + -5m Solving -2 + 3m = 9 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. -2 + 3m + 5m = 9 + -5m + 5m Combine like terms: 3m + 5m = 8m -2 + 8m = 9 + -5m + 5m Combine like terms: -5m + 5m = 0 -2 + 8m = 9 + 0 -2 + 8m = 9 Add '2' to each side of the equation. -2 + 2 + 8m = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 8m = 9 + 2 8m = 9 + 2 Combine like terms: 9 + 2 = 11 8m = 11 Divide each side by '8'. m = 1.375 Simplifying m = 1.375
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