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Simplifying 0.2(50) + 0.8r = 0.4(50 + r) Multiply 0.2 * 50 10 + 0.8r = 0.4(50 + r) 10 + 0.8r = (50 * 0.4 + r * 0.4) 10 + 0.8r = (20 + 0.4r) Solving 10 + 0.8r = 20 + 0.4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.4r' to each side of the equation. 10 + 0.8r + -0.4r = 20 + 0.4r + -0.4r Combine like terms: 0.8r + -0.4r = 0.4r 10 + 0.4r = 20 + 0.4r + -0.4r Combine like terms: 0.4r + -0.4r = 0.0 10 + 0.4r = 20 + 0.0 10 + 0.4r = 20 Add '-10' to each side of the equation. 10 + -10 + 0.4r = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 0.4r = 20 + -10 0.4r = 20 + -10 Combine like terms: 20 + -10 = 10 0.4r = 10 Divide each side by '0.4'. r = 25 Simplifying r = 25
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