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Simplifying 1 + 8r = 6 + -1r + 4r Combine like terms: -1r + 4r = 3r 1 + 8r = 6 + 3r Solving 1 + 8r = 6 + 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 = 6 + 3r + -3r Combine like terms: 8r + -3r = 5r 1 + 5r = 6 + 3r + -3r Combine like terms: 3r + -3r = 0 1 + 5r = 6 + 0 1 + 5r = 6 Add '-1' to each side of the equation. 1 + -1 + 5r = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 5r = 6 + -1 5r = 6 + -1 Combine like terms: 6 + -1 = 5 5r = 5 Divide each side by '5'. r = 1 Simplifying r = 1
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