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Simplifying 8r + -13 = -31 + 2r Reorder the terms: -13 + 8r = -31 + 2r Solving -13 + 8r = -31 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -13 + 8r + -2r = -31 + 2r + -2r Combine like terms: 8r + -2r = 6r -13 + 6r = -31 + 2r + -2r Combine like terms: 2r + -2r = 0 -13 + 6r = -31 + 0 -13 + 6r = -31 Add '13' to each side of the equation. -13 + 13 + 6r = -31 + 13 Combine like terms: -13 + 13 = 0 0 + 6r = -31 + 13 6r = -31 + 13 Combine like terms: -31 + 13 = -18 6r = -18 Divide each side by '6'. r = -3 Simplifying r = -3
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