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Simplifying 7 + 11r + -5 = 8r + 23 + -4r Reorder the terms: 7 + -5 + 11r = 8r + 23 + -4r Combine like terms: 7 + -5 = 2 2 + 11r = 8r + 23 + -4r Reorder the terms: 2 + 11r = 23 + 8r + -4r Combine like terms: 8r + -4r = 4r 2 + 11r = 23 + 4r Solving 2 + 11r = 23 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 2 + 11r + -4r = 23 + 4r + -4r Combine like terms: 11r + -4r = 7r 2 + 7r = 23 + 4r + -4r Combine like terms: 4r + -4r = 0 2 + 7r = 23 + 0 2 + 7r = 23 Add '-2' to each side of the equation. 2 + -2 + 7r = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 7r = 23 + -2 7r = 23 + -2 Combine like terms: 23 + -2 = 21 7r = 21 Divide each side by '7'. r = 3 Simplifying r = 3
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