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Simplifying 9 + 2r + -6 = 5r + 7 + -2r Reorder the terms: 9 + -6 + 2r = 5r + 7 + -2r Combine like terms: 9 + -6 = 3 3 + 2r = 5r + 7 + -2r Reorder the terms: 3 + 2r = 7 + 5r + -2r Combine like terms: 5r + -2r = 3r 3 + 2r = 7 + 3r Solving 3 + 2r = 7 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 3 + 2r + -3r = 7 + 3r + -3r Combine like terms: 2r + -3r = -1r 3 + -1r = 7 + 3r + -3r Combine like terms: 3r + -3r = 0 3 + -1r = 7 + 0 3 + -1r = 7 Add '-3' to each side of the equation. 3 + -3 + -1r = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 7 + -3 -1r = 7 + -3 Combine like terms: 7 + -3 = 4 -1r = 4 Divide each side by '-1'. r = -4 Simplifying r = -4
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