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Simplifying 5 + 7r + -2 = 6r + 27 + -2r Reorder the terms: 5 + -2 + 7r = 6r + 27 + -2r Combine like terms: 5 + -2 = 3 3 + 7r = 6r + 27 + -2r Reorder the terms: 3 + 7r = 27 + 6r + -2r Combine like terms: 6r + -2r = 4r 3 + 7r = 27 + 4r Solving 3 + 7r = 27 + 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. 3 + 7r + -4r = 27 + 4r + -4r Combine like terms: 7r + -4r = 3r 3 + 3r = 27 + 4r + -4r Combine like terms: 4r + -4r = 0 3 + 3r = 27 + 0 3 + 3r = 27 Add '-3' to each side of the equation. 3 + -3 + 3r = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 3r = 27 + -3 3r = 27 + -3 Combine like terms: 27 + -3 = 24 3r = 24 Divide each side by '3'. r = 8 Simplifying r = 8
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