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