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Simplifying 6 + 3r + -2 = 8r + 9 + -4r Reorder the terms: 6 + -2 + 3r = 8r + 9 + -4r Combine like terms: 6 + -2 = 4 4 + 3r = 8r + 9 + -4r Reorder the terms: 4 + 3r = 9 + 8r + -4r Combine like terms: 8r + -4r = 4r 4 + 3r = 9 + 4r Solving 4 + 3r = 9 + 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 + 3r + -4r = 9 + 4r + -4r Combine like terms: 3r + -4r = -1r 4 + -1r = 9 + 4r + -4r Combine like terms: 4r + -4r = 0 4 + -1r = 9 + 0 4 + -1r = 9 Add '-4' to each side of the equation. 4 + -4 + -1r = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 9 + -4 -1r = 9 + -4 Combine like terms: 9 + -4 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5
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