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Simplifying 8 + 19r + -5 = 9r + 31 + -4r Reorder the terms: 8 + -5 + 19r = 9r + 31 + -4r Combine like terms: 8 + -5 = 3 3 + 19r = 9r + 31 + -4r Reorder the terms: 3 + 19r = 31 + 9r + -4r Combine like terms: 9r + -4r = 5r 3 + 19r = 31 + 5r Solving 3 + 19r = 31 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 3 + 19r + -5r = 31 + 5r + -5r Combine like terms: 19r + -5r = 14r 3 + 14r = 31 + 5r + -5r Combine like terms: 5r + -5r = 0 3 + 14r = 31 + 0 3 + 14r = 31 Add '-3' to each side of the equation. 3 + -3 + 14r = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 14r = 31 + -3 14r = 31 + -3 Combine like terms: 31 + -3 = 28 14r = 28 Divide each side by '14'. r = 2 Simplifying r = 2
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