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Simplifying -6r + -39 = 5r + -27 Reorder the terms: -39 + -6r = 5r + -27 Reorder the terms: -39 + -6r = -27 + 5r Solving -39 + -6r = -27 + 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. -39 + -6r + -5r = -27 + 5r + -5r Combine like terms: -6r + -5r = -11r -39 + -11r = -27 + 5r + -5r Combine like terms: 5r + -5r = 0 -39 + -11r = -27 + 0 -39 + -11r = -27 Add '39' to each side of the equation. -39 + 39 + -11r = -27 + 39 Combine like terms: -39 + 39 = 0 0 + -11r = -27 + 39 -11r = -27 + 39 Combine like terms: -27 + 39 = 12 -11r = 12 Divide each side by '-11'. r = -1.090909091 Simplifying r = -1.090909091
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