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Simplifying 8 + 5r + -2 = 7r + 8 + -3r Reorder the terms: 8 + -2 + 5r = 7r + 8 + -3r Combine like terms: 8 + -2 = 6 6 + 5r = 7r + 8 + -3r Reorder the terms: 6 + 5r = 8 + 7r + -3r Combine like terms: 7r + -3r = 4r 6 + 5r = 8 + 4r Solving 6 + 5r = 8 + 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. 6 + 5r + -4r = 8 + 4r + -4r Combine like terms: 5r + -4r = 1r 6 + 1r = 8 + 4r + -4r Combine like terms: 4r + -4r = 0 6 + 1r = 8 + 0 6 + 1r = 8 Add '-6' to each side of the equation. 6 + -6 + 1r = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 1r = 8 + -6 1r = 8 + -6 Combine like terms: 8 + -6 = 2 1r = 2 Divide each side by '1'. r = 2 Simplifying r = 2
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