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Simplifying 0.02(50) + 0.08r = 0.04(50 + r) Multiply 0.02 * 50 1 + 0.08r = 0.04(50 + r) 1 + 0.08r = (50 * 0.04 + r * 0.04) 1 + 0.08r = (2 + 0.04r) Solving 1 + 0.08r = 2 + 0.04r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.04r' to each side of the equation. 1 + 0.08r + -0.04r = 2 + 0.04r + -0.04r Combine like terms: 0.08r + -0.04r = 0.04r 1 + 0.04r = 2 + 0.04r + -0.04r Combine like terms: 0.04r + -0.04r = 0.00 1 + 0.04r = 2 + 0.00 1 + 0.04r = 2 Add '-1' to each side of the equation. 1 + -1 + 0.04r = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 0.04r = 2 + -1 0.04r = 2 + -1 Combine like terms: 2 + -1 = 1 0.04r = 1 Divide each side by '0.04'. r = 25 Simplifying r = 25
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