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Simplifying 5r + 8 = 2 + -1r Reorder the terms: 8 + 5r = 2 + -1r Solving 8 + 5r = 2 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 8 + 5r + r = 2 + -1r + r Combine like terms: 5r + r = 6r 8 + 6r = 2 + -1r + r Combine like terms: -1r + r = 0 8 + 6r = 2 + 0 8 + 6r = 2 Add '-8' to each side of the equation. 8 + -8 + 6r = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 6r = 2 + -8 6r = 2 + -8 Combine like terms: 2 + -8 = -6 6r = -6 Divide each side by '6'. r = -1 Simplifying r = -1
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