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Simplifying r + -6r = 19 + 7r + 5 Combine like terms: r + -6r = -5r -5r = 19 + 7r + 5 Reorder the terms: -5r = 19 + 5 + 7r Combine like terms: 19 + 5 = 24 -5r = 24 + 7r Solving -5r = 24 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -5r + -7r = 24 + 7r + -7r Combine like terms: -5r + -7r = -12r -12r = 24 + 7r + -7r Combine like terms: 7r + -7r = 0 -12r = 24 + 0 -12r = 24 Divide each side by '-12'. r = -2 Simplifying r = -2
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