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Simplifying -31 = 2 + 3(r + -8) Reorder the terms: -31 = 2 + 3(-8 + r) -31 = 2 + (-8 * 3 + r * 3) -31 = 2 + (-24 + 3r) Combine like terms: 2 + -24 = -22 -31 = -22 + 3r Solving -31 = -22 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -31 + -3r = -22 + 3r + -3r Combine like terms: 3r + -3r = 0 -31 + -3r = -22 + 0 -31 + -3r = -22 Add '31' to each side of the equation. -31 + 31 + -3r = -22 + 31 Combine like terms: -31 + 31 = 0 0 + -3r = -22 + 31 -3r = -22 + 31 Combine like terms: -22 + 31 = 9 -3r = 9 Divide each side by '-3'. r = -3 Simplifying r = -3
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