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Simplifying 5 + 2r + -2 = 7r + 21 + -2r Reorder the terms: 5 + -2 + 2r = 7r + 21 + -2r Combine like terms: 5 + -2 = 3 3 + 2r = 7r + 21 + -2r Reorder the terms: 3 + 2r = 21 + 7r + -2r Combine like terms: 7r + -2r = 5r 3 + 2r = 21 + 5r Solving 3 + 2r = 21 + 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. 3 + 2r + -5r = 21 + 5r + -5r Combine like terms: 2r + -5r = -3r 3 + -3r = 21 + 5r + -5r Combine like terms: 5r + -5r = 0 3 + -3r = 21 + 0 3 + -3r = 21 Add '-3' to each side of the equation. 3 + -3 + -3r = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -3r = 21 + -3 -3r = 21 + -3 Combine like terms: 21 + -3 = 18 -3r = 18 Divide each side by '-3'. r = -6 Simplifying r = -6
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