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Simplifying 6 + 2r = 3r + -22 + -8r Reorder the terms: 6 + 2r = -22 + 3r + -8r Combine like terms: 3r + -8r = -5r 6 + 2r = -22 + -5r Solving 6 + 2r = -22 + -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. 6 + 2r + 5r = -22 + -5r + 5r Combine like terms: 2r + 5r = 7r 6 + 7r = -22 + -5r + 5r Combine like terms: -5r + 5r = 0 6 + 7r = -22 + 0 6 + 7r = -22 Add '-6' to each side of the equation. 6 + -6 + 7r = -22 + -6 Combine like terms: 6 + -6 = 0 0 + 7r = -22 + -6 7r = -22 + -6 Combine like terms: -22 + -6 = -28 7r = -28 Divide each side by '7'. r = -4 Simplifying r = -4
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