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Simplifying 8 + 5r = 3r + -6 Reorder the terms: 8 + 5r = -6 + 3r Solving 8 + 5r = -6 + 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. 8 + 5r + -3r = -6 + 3r + -3r Combine like terms: 5r + -3r = 2r 8 + 2r = -6 + 3r + -3r Combine like terms: 3r + -3r = 0 8 + 2r = -6 + 0 8 + 2r = -6 Add '-8' to each side of the equation. 8 + -8 + 2r = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 2r = -6 + -8 2r = -6 + -8 Combine like terms: -6 + -8 = -14 2r = -14 Divide each side by '2'. r = -7 Simplifying r = -7
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