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Simplifying 8 + 3r + -2 = 8r + 22 + -3r Reorder the terms: 8 + -2 + 3r = 8r + 22 + -3r Combine like terms: 8 + -2 = 6 6 + 3r = 8r + 22 + -3r Reorder the terms: 6 + 3r = 22 + 8r + -3r Combine like terms: 8r + -3r = 5r 6 + 3r = 22 + 5r Solving 6 + 3r = 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 + 3r + -5r = 22 + 5r + -5r Combine like terms: 3r + -5r = -2r 6 + -2r = 22 + 5r + -5r Combine like terms: 5r + -5r = 0 6 + -2r = 22 + 0 6 + -2r = 22 Add '-6' to each side of the equation. 6 + -6 + -2r = 22 + -6 Combine like terms: 6 + -6 = 0 0 + -2r = 22 + -6 -2r = 22 + -6 Combine like terms: 22 + -6 = 16 -2r = 16 Divide each side by '-2'. r = -8 Simplifying r = -8
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