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Simplifying 31 = -2(4r + 8) Reorder the terms: 31 = -2(8 + 4r) 31 = (8 * -2 + 4r * -2) 31 = (-16 + -8r) Solving 31 = -16 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 31 + 8r = -16 + -8r + 8r Combine like terms: -8r + 8r = 0 31 + 8r = -16 + 0 31 + 8r = -16 Add '-31' to each side of the equation. 31 + -31 + 8r = -16 + -31 Combine like terms: 31 + -31 = 0 0 + 8r = -16 + -31 8r = -16 + -31 Combine like terms: -16 + -31 = -47 8r = -47 Divide each side by '8'. r = -5.875 Simplifying r = -5.875
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