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Simplifying 11r = 7 + 2(9r + 7) Reorder the terms: 11r = 7 + 2(7 + 9r) 11r = 7 + (7 * 2 + 9r * 2) 11r = 7 + (14 + 18r) Combine like terms: 7 + 14 = 21 11r = 21 + 18r Solving 11r = 21 + 18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18r' to each side of the equation. 11r + -18r = 21 + 18r + -18r Combine like terms: 11r + -18r = -7r -7r = 21 + 18r + -18r Combine like terms: 18r + -18r = 0 -7r = 21 + 0 -7r = 21 Divide each side by '-7'. r = -3 Simplifying r = -3
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