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Simplifying 5r + -4(8r + -1) = -31 Reorder the terms: 5r + -4(-1 + 8r) = -31 5r + (-1 * -4 + 8r * -4) = -31 5r + (4 + -32r) = -31 Reorder the terms: 4 + 5r + -32r = -31 Combine like terms: 5r + -32r = -27r 4 + -27r = -31 Solving 4 + -27r = -31 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -27r = -31 + -4 Combine like terms: 4 + -4 = 0 0 + -27r = -31 + -4 -27r = -31 + -4 Combine like terms: -31 + -4 = -35 -27r = -35 Divide each side by '-27'. r = 1.296296296 Simplifying r = 1.296296296
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