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