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Simplifying 3m + 7 = 5m + 9 Reorder the terms: 7 + 3m = 5m + 9 Reorder the terms: 7 + 3m = 9 + 5m Solving 7 + 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. 7 + 3m + -5m = 9 + 5m + -5m Combine like terms: 3m + -5m = -2m 7 + -2m = 9 + 5m + -5m Combine like terms: 5m + -5m = 0 7 + -2m = 9 + 0 7 + -2m = 9 Add '-7' to each side of the equation. 7 + -7 + -2m = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -2m = 9 + -7 -2m = 9 + -7 Combine like terms: 9 + -7 = 2 -2m = 2 Divide each side by '-2'. m = -1 Simplifying m = -1
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