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