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Simplifying 7r + -19 = 5 + -5r Reorder the terms: -19 + 7r = 5 + -5r Solving -19 + 7r = 5 + -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 + 7r + 5r = 5 + -5r + 5r Combine like terms: 7r + 5r = 12r -19 + 12r = 5 + -5r + 5r Combine like terms: -5r + 5r = 0 -19 + 12r = 5 + 0 -19 + 12r = 5 Add '19' to each side of the equation. -19 + 19 + 12r = 5 + 19 Combine like terms: -19 + 19 = 0 0 + 12r = 5 + 19 12r = 5 + 19 Combine like terms: 5 + 19 = 24 12r = 24 Divide each side by '12'. r = 2 Simplifying r = 2
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