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Simplifying 5 + 5r + -1 = 8r + 6 + -4r Reorder the terms: 5 + -1 + 5r = 8r + 6 + -4r Combine like terms: 5 + -1 = 4 4 + 5r = 8r + 6 + -4r Reorder the terms: 4 + 5r = 6 + 8r + -4r Combine like terms: 8r + -4r = 4r 4 + 5r = 6 + 4r Solving 4 + 5r = 6 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 4 + 5r + -4r = 6 + 4r + -4r Combine like terms: 5r + -4r = 1r 4 + 1r = 6 + 4r + -4r Combine like terms: 4r + -4r = 0 4 + 1r = 6 + 0 4 + 1r = 6 Add '-4' to each side of the equation. 4 + -4 + 1r = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 1r = 6 + -4 1r = 6 + -4 Combine like terms: 6 + -4 = 2 1r = 2 Divide each side by '1'. r = 2 Simplifying r = 2
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