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Simplifying 3 + 2r + -2 = 8r + 10 + -5r Reorder the terms: 3 + -2 + 2r = 8r + 10 + -5r Combine like terms: 3 + -2 = 1 1 + 2r = 8r + 10 + -5r Reorder the terms: 1 + 2r = 10 + 8r + -5r Combine like terms: 8r + -5r = 3r 1 + 2r = 10 + 3r Solving 1 + 2r = 10 + 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 = 10 + 3r + -3r Combine like terms: 2r + -3r = -1r 1 + -1r = 10 + 3r + -3r Combine like terms: 3r + -3r = 0 1 + -1r = 10 + 0 1 + -1r = 10 Add '-1' to each side of the equation. 1 + -1 + -1r = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -1r = 10 + -1 -1r = 10 + -1 Combine like terms: 10 + -1 = 9 -1r = 9 Divide each side by '-1'. r = -9 Simplifying r = -9
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