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Simplifying 40 = 50(1 + -1r) 40 = (1 * 50 + -1r * 50) 40 = (50 + -50r) Solving 40 = 50 + -50r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '50r' to each side of the equation. 40 + 50r = 50 + -50r + 50r Combine like terms: -50r + 50r = 0 40 + 50r = 50 + 0 40 + 50r = 50 Add '-40' to each side of the equation. 40 + -40 + 50r = 50 + -40 Combine like terms: 40 + -40 = 0 0 + 50r = 50 + -40 50r = 50 + -40 Combine like terms: 50 + -40 = 10 50r = 10 Divide each side by '50'. r = 0.2 Simplifying r = 0.2
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