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Simplifying 1000 + 200m = 1500 + 1175m Solving 1000 + 200m = 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 + 200m + -1175m = 1500 + 1175m + -1175m Combine like terms: 200m + -1175m = -975m 1000 + -975m = 1500 + 1175m + -1175m Combine like terms: 1175m + -1175m = 0 1000 + -975m = 1500 + 0 1000 + -975m = 1500 Add '-1000' to each side of the equation. 1000 + -1000 + -975m = 1500 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -975m = 1500 + -1000 -975m = 1500 + -1000 Combine like terms: 1500 + -1000 = 500 -975m = 500 Divide each side by '-975'. m = -0.5128205128 Simplifying m = -0.5128205128
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