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Simplifying 7r + -12 = -3r + 8r Reorder the terms: -12 + 7r = -3r + 8r Combine like terms: -3r + 8r = 5r -12 + 7r = 5r Solving -12 + 7r = 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. -12 + 7r + -5r = 5r + -5r Combine like terms: 7r + -5r = 2r -12 + 2r = 5r + -5r Combine like terms: 5r + -5r = 0 -12 + 2r = 0 Add '12' to each side of the equation. -12 + 12 + 2r = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2r = 0 + 12 2r = 0 + 12 Combine like terms: 0 + 12 = 12 2r = 12 Divide each side by '2'. r = 6 Simplifying r = 6
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