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Simplifying 3 + 7r + -1 = 7r + 23 + -3r Reorder the terms: 3 + -1 + 7r = 7r + 23 + -3r Combine like terms: 3 + -1 = 2 2 + 7r = 7r + 23 + -3r Reorder the terms: 2 + 7r = 23 + 7r + -3r Combine like terms: 7r + -3r = 4r 2 + 7r = 23 + 4r Solving 2 + 7r = 23 + 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. 2 + 7r + -4r = 23 + 4r + -4r Combine like terms: 7r + -4r = 3r 2 + 3r = 23 + 4r + -4r Combine like terms: 4r + -4r = 0 2 + 3r = 23 + 0 2 + 3r = 23 Add '-2' to each side of the equation. 2 + -2 + 3r = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 3r = 23 + -2 3r = 23 + -2 Combine like terms: 23 + -2 = 21 3r = 21 Divide each side by '3'. r = 7 Simplifying r = 7
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