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Simplifying 8 + 4r + -2 = 7r + 9 + -2r Reorder the terms: 8 + -2 + 4r = 7r + 9 + -2r Combine like terms: 8 + -2 = 6 6 + 4r = 7r + 9 + -2r Reorder the terms: 6 + 4r = 9 + 7r + -2r Combine like terms: 7r + -2r = 5r 6 + 4r = 9 + 5r Solving 6 + 4r = 9 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 6 + 4r + -5r = 9 + 5r + -5r Combine like terms: 4r + -5r = -1r 6 + -1r = 9 + 5r + -5r Combine like terms: 5r + -5r = 0 6 + -1r = 9 + 0 6 + -1r = 9 Add '-6' to each side of the equation. 6 + -6 + -1r = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -1r = 9 + -6 -1r = 9 + -6 Combine like terms: 9 + -6 = 3 -1r = 3 Divide each side by '-1'. r = -3 Simplifying r = -3
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