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Simplifying -3r + 6 = 2 + -5r Reorder the terms: 6 + -3r = 2 + -5r Solving 6 + -3r = 2 + -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. 6 + -3r + 5r = 2 + -5r + 5r Combine like terms: -3r + 5r = 2r 6 + 2r = 2 + -5r + 5r Combine like terms: -5r + 5r = 0 6 + 2r = 2 + 0 6 + 2r = 2 Add '-6' to each side of the equation. 6 + -6 + 2r = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 2r = 2 + -6 2r = 2 + -6 Combine like terms: 2 + -6 = -4 2r = -4 Divide each side by '2'. r = -2 Simplifying r = -2
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