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Simplifying 1200m + 1000 = 1175m + 1500 Reorder the terms: 1000 + 1200m = 1175m + 1500 Reorder the terms: 1000 + 1200m = 1500 + 1175m Solving 1000 + 1200m = 1500 + 1175m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1175m' to each side of the equation. 1000 + 1200m + -1175m = 1500 + 1175m + -1175m Combine like terms: 1200m + -1175m = 25m 1000 + 25m = 1500 + 1175m + -1175m Combine like terms: 1175m + -1175m = 0 1000 + 25m = 1500 + 0 1000 + 25m = 1500 Add '-1000' to each side of the equation. 1000 + -1000 + 25m = 1500 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 25m = 1500 + -1000 25m = 1500 + -1000 Combine like terms: 1500 + -1000 = 500 25m = 500 Divide each side by '25'. m = 20 Simplifying m = 20
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