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Simplifying 167 = 6 + 7(2 + -7r) 167 = 6 + (2 * 7 + -7r * 7) 167 = 6 + (14 + -49r) Combine like terms: 6 + 14 = 20 167 = 20 + -49r Solving 167 = 20 + -49r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '49r' to each side of the equation. 167 + 49r = 20 + -49r + 49r Combine like terms: -49r + 49r = 0 167 + 49r = 20 + 0 167 + 49r = 20 Add '-167' to each side of the equation. 167 + -167 + 49r = 20 + -167 Combine like terms: 167 + -167 = 0 0 + 49r = 20 + -167 49r = 20 + -167 Combine like terms: 20 + -167 = -147 49r = -147 Divide each side by '49'. r = -3 Simplifying r = -3
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