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Simplifying 7r + -3r + 5 = 11 + 10 + -4r Reorder the terms: 5 + 7r + -3r = 11 + 10 + -4r Combine like terms: 7r + -3r = 4r 5 + 4r = 11 + 10 + -4r Combine like terms: 11 + 10 = 21 5 + 4r = 21 + -4r Solving 5 + 4r = 21 + -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. 5 + 4r + 4r = 21 + -4r + 4r Combine like terms: 4r + 4r = 8r 5 + 8r = 21 + -4r + 4r Combine like terms: -4r + 4r = 0 5 + 8r = 21 + 0 5 + 8r = 21 Add '-5' to each side of the equation. 5 + -5 + 8r = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 8r = 21 + -5 8r = 21 + -5 Combine like terms: 21 + -5 = 16 8r = 16 Divide each side by '8'. r = 2 Simplifying r = 2

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