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Simplifying 8r + 1 = 12 + -8r + 5r Reorder the terms: 1 + 8r = 12 + -8r + 5r Combine like terms: -8r + 5r = -3r 1 + 8r = 12 + -3r Solving 1 + 8r = 12 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 1 + 8r + 3r = 12 + -3r + 3r Combine like terms: 8r + 3r = 11r 1 + 11r = 12 + -3r + 3r Combine like terms: -3r + 3r = 0 1 + 11r = 12 + 0 1 + 11r = 12 Add '-1' to each side of the equation. 1 + -1 + 11r = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 11r = 12 + -1 11r = 12 + -1 Combine like terms: 12 + -1 = 11 11r = 11 Divide each side by '11'. r = 1 Simplifying r = 1
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