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