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Simplifying r + 197 = -6r + -20 Reorder the terms: 197 + r = -6r + -20 Reorder the terms: 197 + r = -20 + -6r Solving 197 + r = -20 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 197 + r + 6r = -20 + -6r + 6r Combine like terms: r + 6r = 7r 197 + 7r = -20 + -6r + 6r Combine like terms: -6r + 6r = 0 197 + 7r = -20 + 0 197 + 7r = -20 Add '-197' to each side of the equation. 197 + -197 + 7r = -20 + -197 Combine like terms: 197 + -197 = 0 0 + 7r = -20 + -197 7r = -20 + -197 Combine like terms: -20 + -197 = -217 7r = -217 Divide each side by '7'. r = -31 Simplifying r = -31
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