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Simplifying 0.25r + 9 = 10 + -0.75r Reorder the terms: 9 + 0.25r = 10 + -0.75r Solving 9 + 0.25r = 10 + -0.75r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.75r' to each side of the equation. 9 + 0.25r + 0.75r = 10 + -0.75r + 0.75r Combine like terms: 0.25r + 0.75r = 1r 9 + 1r = 10 + -0.75r + 0.75r Combine like terms: -0.75r + 0.75r = 0.00 9 + 1r = 10 + 0.00 9 + 1r = 10 Add '-9' to each side of the equation. 9 + -9 + 1r = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 1r = 10 + -9 1r = 10 + -9 Combine like terms: 10 + -9 = 1 1r = 1 Divide each side by '1'. r = 1 Simplifying r = 1
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