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Simplifying 4 + 19r + -1 = 9r + 68 + -3r Reorder the terms: 4 + -1 + 19r = 9r + 68 + -3r Combine like terms: 4 + -1 = 3 3 + 19r = 9r + 68 + -3r Reorder the terms: 3 + 19r = 68 + 9r + -3r Combine like terms: 9r + -3r = 6r 3 + 19r = 68 + 6r Solving 3 + 19r = 68 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 3 + 19r + -6r = 68 + 6r + -6r Combine like terms: 19r + -6r = 13r 3 + 13r = 68 + 6r + -6r Combine like terms: 6r + -6r = 0 3 + 13r = 68 + 0 3 + 13r = 68 Add '-3' to each side of the equation. 3 + -3 + 13r = 68 + -3 Combine like terms: 3 + -3 = 0 0 + 13r = 68 + -3 13r = 68 + -3 Combine like terms: 68 + -3 = 65 13r = 65 Divide each side by '13'. r = 5 Simplifying r = 5
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