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Simplifying 8r + -6r + 2 = 5r + 2r + -1r Reorder the terms: 2 + 8r + -6r = 5r + 2r + -1r Combine like terms: 8r + -6r = 2r 2 + 2r = 5r + 2r + -1r Combine like terms: 5r + 2r = 7r 2 + 2r = 7r + -1r Combine like terms: 7r + -1r = 6r 2 + 2r = 6r Solving 2 + 2r = 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 2 + 2r + -6r = 6r + -6r Combine like terms: 2r + -6r = -4r 2 + -4r = 6r + -6r Combine like terms: 6r + -6r = 0 2 + -4r = 0 Add '-2' to each side of the equation. 2 + -2 + -4r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4r = 0 + -2 -4r = 0 + -2 Combine like terms: 0 + -2 = -2 -4r = -2 Divide each side by '-4'. r = 0.5 Simplifying r = 0.5
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