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Simplifying 3 + 19r + -2 = 8r + 57 + -3r Reorder the terms: 3 + -2 + 19r = 8r + 57 + -3r Combine like terms: 3 + -2 = 1 1 + 19r = 8r + 57 + -3r Reorder the terms: 1 + 19r = 57 + 8r + -3r Combine like terms: 8r + -3r = 5r 1 + 19r = 57 + 5r Solving 1 + 19r = 57 + 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. 1 + 19r + -5r = 57 + 5r + -5r Combine like terms: 19r + -5r = 14r 1 + 14r = 57 + 5r + -5r Combine like terms: 5r + -5r = 0 1 + 14r = 57 + 0 1 + 14r = 57 Add '-1' to each side of the equation. 1 + -1 + 14r = 57 + -1 Combine like terms: 1 + -1 = 0 0 + 14r = 57 + -1 14r = 57 + -1 Combine like terms: 57 + -1 = 56 14r = 56 Divide each side by '14'. r = 4 Simplifying r = 4
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