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Simplifying 197 = 7r + -6 + -7(6r + 6) Reorder the terms: 197 = 7r + -6 + -7(6 + 6r) 197 = 7r + -6 + (6 * -7 + 6r * -7) 197 = 7r + -6 + (-42 + -42r) Reorder the terms: 197 = -6 + -42 + 7r + -42r Combine like terms: -6 + -42 = -48 197 = -48 + 7r + -42r Combine like terms: 7r + -42r = -35r 197 = -48 + -35r Solving 197 = -48 + -35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '35r' to each side of the equation. 197 + 35r = -48 + -35r + 35r Combine like terms: -35r + 35r = 0 197 + 35r = -48 + 0 197 + 35r = -48 Add '-197' to each side of the equation. 197 + -197 + 35r = -48 + -197 Combine like terms: 197 + -197 = 0 0 + 35r = -48 + -197 35r = -48 + -197 Combine like terms: -48 + -197 = -245 35r = -245 Divide each side by '35'. r = -7 Simplifying r = -7
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