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Simplifying 8r + -5r + 6 = -6 + -6r + 3r Reorder the terms: 6 + 8r + -5r = -6 + -6r + 3r Combine like terms: 8r + -5r = 3r 6 + 3r = -6 + -6r + 3r Combine like terms: -6r + 3r = -3r 6 + 3r = -6 + -3r Solving 6 + 3r = -6 + -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. 6 + 3r + 3r = -6 + -3r + 3r Combine like terms: 3r + 3r = 6r 6 + 6r = -6 + -3r + 3r Combine like terms: -3r + 3r = 0 6 + 6r = -6 + 0 6 + 6r = -6 Add '-6' to each side of the equation. 6 + -6 + 6r = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 6r = -6 + -6 6r = -6 + -6 Combine like terms: -6 + -6 = -12 6r = -12 Divide each side by '6'. r = -2 Simplifying r = -2
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