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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 = -27 3r = -27 Divide each side by '3'. r = -9 Simplifying r = -9
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