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Simplifying 5 + -17r + -2 = 7r + 27 + -2r Reorder the terms: 5 + -2 + -17r = 7r + 27 + -2r Combine like terms: 5 + -2 = 3 3 + -17r = 7r + 27 + -2r Reorder the terms: 3 + -17r = 27 + 7r + -2r Combine like terms: 7r + -2r = 5r 3 + -17r = 27 + 5r Solving 3 + -17r = 27 + 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 + -17r + -5r = 27 + 5r + -5r Combine like terms: -17r + -5r = -22r 3 + -22r = 27 + 5r + -5r Combine like terms: 5r + -5r = 0 3 + -22r = 27 + 0 3 + -22r = 27 Add '-3' to each side of the equation. 3 + -3 + -22r = 27 + -3 Combine like terms: 3 + -3 = 0 0 + -22r = 27 + -3 -22r = 27 + -3 Combine like terms: 27 + -3 = 24 -22r = 24 Divide each side by '-22'. r = -1.090909091 Simplifying r = -1.090909091
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