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Simplifying 2r + 9 = 5r + -6 Reorder the terms: 9 + 2r = 5r + -6 Reorder the terms: 9 + 2r = -6 + 5r Solving 9 + 2r = -6 + 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. 9 + 2r + -5r = -6 + 5r + -5r Combine like terms: 2r + -5r = -3r 9 + -3r = -6 + 5r + -5r Combine like terms: 5r + -5r = 0 9 + -3r = -6 + 0 9 + -3r = -6 Add '-9' to each side of the equation. 9 + -9 + -3r = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -3r = -6 + -9 -3r = -6 + -9 Combine like terms: -6 + -9 = -15 -3r = -15 Divide each side by '-3'. r = 5 Simplifying r = 5
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