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Simplifying 5r + 4(-8r + 2) = 0 Reorder the terms: 5r + 4(2 + -8r) = 0 5r + (2 * 4 + -8r * 4) = 0 5r + (8 + -32r) = 0 Reorder the terms: 8 + 5r + -32r = 0 Combine like terms: 5r + -32r = -27r 8 + -27r = 0 Solving 8 + -27r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -27r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -27r = 0 + -8 -27r = 0 + -8 Combine like terms: 0 + -8 = -8 -27r = -8 Divide each side by '-27'. r = 0.2962962963 Simplifying r = 0.2962962963
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