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Simplifying 6r + -3r + 2 = 6r + -1r Reorder the terms: 2 + 6r + -3r = 6r + -1r Combine like terms: 6r + -3r = 3r 2 + 3r = 6r + -1r Combine like terms: 6r + -1r = 5r 2 + 3r = 5r Solving 2 + 3r = 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. 2 + 3r + -5r = 5r + -5r Combine like terms: 3r + -5r = -2r 2 + -2r = 5r + -5r Combine like terms: 5r + -5r = 0 2 + -2r = 0 Add '-2' to each side of the equation. 2 + -2 + -2r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2r = 0 + -2 -2r = 0 + -2 Combine like terms: 0 + -2 = -2 -2r = -2 Divide each side by '-2'. r = 1 Simplifying r = 1
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