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Simplifying -5r + 6 = 6r + -38 Reorder the terms: 6 + -5r = 6r + -38 Reorder the terms: 6 + -5r = -38 + 6r Solving 6 + -5r = -38 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 6 + -5r + -6r = -38 + 6r + -6r Combine like terms: -5r + -6r = -11r 6 + -11r = -38 + 6r + -6r Combine like terms: 6r + -6r = 0 6 + -11r = -38 + 0 6 + -11r = -38 Add '-6' to each side of the equation. 6 + -6 + -11r = -38 + -6 Combine like terms: 6 + -6 = 0 0 + -11r = -38 + -6 -11r = -38 + -6 Combine like terms: -38 + -6 = -44 -11r = -44 Divide each side by '-11'. r = 4 Simplifying r = 4
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