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Simplifying 0.02(50) + 0.08r = 4(50 + r) Multiply 0.02 * 50 1 + 0.08r = 4(50 + r) 1 + 0.08r = (50 * 4 + r * 4) 1 + 0.08r = (200 + 4r) Solving 1 + 0.08r = 200 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 1 + 0.08r + -4r = 200 + 4r + -4r Combine like terms: 0.08r + -4r = -3.92r 1 + -3.92r = 200 + 4r + -4r Combine like terms: 4r + -4r = 0 1 + -3.92r = 200 + 0 1 + -3.92r = 200 Add '-1' to each side of the equation. 1 + -1 + -3.92r = 200 + -1 Combine like terms: 1 + -1 = 0 0 + -3.92r = 200 + -1 -3.92r = 200 + -1 Combine like terms: 200 + -1 = 199 -3.92r = 199 Divide each side by '-3.92'. r = -50.76530612 Simplifying r = -50.76530612
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