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Simplifying 5 + 11r + -3 = 8r + 9 + -4r Reorder the terms: 5 + -3 + 11r = 8r + 9 + -4r Combine like terms: 5 + -3 = 2 2 + 11r = 8r + 9 + -4r Reorder the terms: 2 + 11r = 9 + 8r + -4r Combine like terms: 8r + -4r = 4r 2 + 11r = 9 + 4r Solving 2 + 11r = 9 + 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 = 9 + 4r + -4r Combine like terms: 11r + -4r = 7r 2 + 7r = 9 + 4r + -4r Combine like terms: 4r + -4r = 0 2 + 7r = 9 + 0 2 + 7r = 9 Add '-2' to each side of the equation. 2 + -2 + 7r = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 7r = 9 + -2 7r = 9 + -2 Combine like terms: 9 + -2 = 7 7r = 7 Divide each side by '7'. r = 1 Simplifying r = 1
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