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Simplifying -3r + 2 = 7 + -8r Reorder the terms: 2 + -3r = 7 + -8r Solving 2 + -3r = 7 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 2 + -3r + 8r = 7 + -8r + 8r Combine like terms: -3r + 8r = 5r 2 + 5r = 7 + -8r + 8r Combine like terms: -8r + 8r = 0 2 + 5r = 7 + 0 2 + 5r = 7 Add '-2' to each side of the equation. 2 + -2 + 5r = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 5r = 7 + -2 5r = 7 + -2 Combine like terms: 7 + -2 = 5 5r = 5 Divide each side by '5'. r = 1 Simplifying r = 1
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