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Simplifying -2r + 5r = 5r + 40 + 30 + 12 Combine like terms: -2r + 5r = 3r 3r = 5r + 40 + 30 + 12 Reorder the terms: 3r = 40 + 30 + 12 + 5r Combine like terms: 40 + 30 = 70 3r = 70 + 12 + 5r Combine like terms: 70 + 12 = 82 3r = 82 + 5r Solving 3r = 82 + 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. 3r + -5r = 82 + 5r + -5r Combine like terms: 3r + -5r = -2r -2r = 82 + 5r + -5r Combine like terms: 5r + -5r = 0 -2r = 82 + 0 -2r = 82 Divide each side by '-2'. r = -41 Simplifying r = -41
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