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Simplifying r + 8 = -1r + 6r + 2r Reorder the terms: 8 + r = -1r + 6r + 2r Combine like terms: -1r + 6r = 5r 8 + r = 5r + 2r Combine like terms: 5r + 2r = 7r 8 + r = 7r Solving 8 + r = 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. 8 + r + -7r = 7r + -7r Combine like terms: r + -7r = -6r 8 + -6r = 7r + -7r Combine like terms: 7r + -7r = 0 8 + -6r = 0 Add '-8' to each side of the equation. 8 + -8 + -6r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -6r = 0 + -8 -6r = 0 + -8 Combine like terms: 0 + -8 = -8 -6r = -8 Divide each side by '-6'. r = 1.333333333 Simplifying r = 1.333333333
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