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