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Simplifying -19 = 7r + 6 + -2r Reorder the terms: -19 = 6 + 7r + -2r Combine like terms: 7r + -2r = 5r -19 = 6 + 5r Solving -19 = 6 + 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. -19 + -5r = 6 + 5r + -5r Combine like terms: 5r + -5r = 0 -19 + -5r = 6 + 0 -19 + -5r = 6 Add '19' to each side of the equation. -19 + 19 + -5r = 6 + 19 Combine like terms: -19 + 19 = 0 0 + -5r = 6 + 19 -5r = 6 + 19 Combine like terms: 6 + 19 = 25 -5r = 25 Divide each side by '-5'. r = -5 Simplifying r = -5
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