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Simplifying 20 + 0.15r = 30 + 0.1r Solving 20 + 0.15r = 30 + 0.1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.1r' to each side of the equation. 20 + 0.15r + -0.1r = 30 + 0.1r + -0.1r Combine like terms: 0.15r + -0.1r = 0.05r 20 + 0.05r = 30 + 0.1r + -0.1r Combine like terms: 0.1r + -0.1r = 0.0 20 + 0.05r = 30 + 0.0 20 + 0.05r = 30 Add '-20' to each side of the equation. 20 + -20 + 0.05r = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 0.05r = 30 + -20 0.05r = 30 + -20 Combine like terms: 30 + -20 = 10 0.05r = 10 Divide each side by '0.05'. r = 200 Simplifying r = 200
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