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