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Simplifying 25 + 0.45r = 40 + 0.25r Solving 25 + 0.45r = 40 + 0.25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.25r' to each side of the equation. 25 + 0.45r + -0.25r = 40 + 0.25r + -0.25r Combine like terms: 0.45r + -0.25r = 0.2r 25 + 0.2r = 40 + 0.25r + -0.25r Combine like terms: 0.25r + -0.25r = 0.00 25 + 0.2r = 40 + 0.00 25 + 0.2r = 40 Add '-25' to each side of the equation. 25 + -25 + 0.2r = 40 + -25 Combine like terms: 25 + -25 = 0 0 + 0.2r = 40 + -25 0.2r = 40 + -25 Combine like terms: 40 + -25 = 15 0.2r = 15 Divide each side by '0.2'. r = 75 Simplifying r = 75
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