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Simplifying 4 + 3r + -2 = 7r + 8 + -2r Reorder the terms: 4 + -2 + 3r = 7r + 8 + -2r Combine like terms: 4 + -2 = 2 2 + 3r = 7r + 8 + -2r Reorder the terms: 2 + 3r = 8 + 7r + -2r Combine like terms: 7r + -2r = 5r 2 + 3r = 8 + 5r Solving 2 + 3r = 8 + 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 = 8 + 5r + -5r Combine like terms: 3r + -5r = -2r 2 + -2r = 8 + 5r + -5r Combine like terms: 5r + -5r = 0 2 + -2r = 8 + 0 2 + -2r = 8 Add '-2' to each side of the equation. 2 + -2 + -2r = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -2r = 8 + -2 -2r = 8 + -2 Combine like terms: 8 + -2 = 6 -2r = 6 Divide each side by '-2'. r = -3 Simplifying r = -3
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