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Simplifying 8r + -1(5r + 4) = 31 Reorder the terms: 8r + -1(4 + 5r) = 31 8r + (4 * -1 + 5r * -1) = 31 8r + (-4 + -5r) = 31 Reorder the terms: -4 + 8r + -5r = 31 Combine like terms: 8r + -5r = 3r -4 + 3r = 31 Solving -4 + 3r = 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 + 3r = 31 + 4 Combine like terms: -4 + 4 = 0 0 + 3r = 31 + 4 3r = 31 + 4 Combine like terms: 31 + 4 = 35 3r = 35 Divide each side by '3'. r = 11.66666667 Simplifying r = 11.66666667
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