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Simplifying 5 + 19r + -1 = 7r + 106 + -5r Reorder the terms: 5 + -1 + 19r = 7r + 106 + -5r Combine like terms: 5 + -1 = 4 4 + 19r = 7r + 106 + -5r Reorder the terms: 4 + 19r = 106 + 7r + -5r Combine like terms: 7r + -5r = 2r 4 + 19r = 106 + 2r Solving 4 + 19r = 106 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 4 + 19r + -2r = 106 + 2r + -2r Combine like terms: 19r + -2r = 17r 4 + 17r = 106 + 2r + -2r Combine like terms: 2r + -2r = 0 4 + 17r = 106 + 0 4 + 17r = 106 Add '-4' to each side of the equation. 4 + -4 + 17r = 106 + -4 Combine like terms: 4 + -4 = 0 0 + 17r = 106 + -4 17r = 106 + -4 Combine like terms: 106 + -4 = 102 17r = 102 Divide each side by '17'. r = 6 Simplifying r = 6
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