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Simplifying -3r + 8r = 12 + 7r + 3 + -3 Combine like terms: -3r + 8r = 5r 5r = 12 + 7r + 3 + -3 Reorder the terms: 5r = 12 + 3 + -3 + 7r Combine like terms: 12 + 3 = 15 5r = 15 + -3 + 7r Combine like terms: 15 + -3 = 12 5r = 12 + 7r Solving 5r = 12 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 5r + -7r = 12 + 7r + -7r Combine like terms: 5r + -7r = -2r -2r = 12 + 7r + -7r Combine like terms: 7r + -7r = 0 -2r = 12 + 0 -2r = 12 Divide each side by '-2'. r = -6 Simplifying r = -6
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