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