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