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Simplifying 0.8(0.4r + 1) = 0.16 Reorder the terms: 0.8(1 + 0.4r) = 0.16 (1 * 0.8 + 0.4r * 0.8) = 0.16 (0.8 + 0.32r) = 0.16 Solving 0.8 + 0.32r = 0.16 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.32r = 0.16 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.32r = 0.16 + -0.8 0.32r = 0.16 + -0.8 Combine like terms: 0.16 + -0.8 = -0.64 0.32r = -0.64 Divide each side by '0.32'. r = -2 Simplifying r = -2
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