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Simplifying 6r + -19 = -13r + 19 Reorder the terms: -19 + 6r = -13r + 19 Reorder the terms: -19 + 6r = 19 + -13r Solving -19 + 6r = 19 + -13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13r' to each side of the equation. -19 + 6r + 13r = 19 + -13r + 13r Combine like terms: 6r + 13r = 19r -19 + 19r = 19 + -13r + 13r Combine like terms: -13r + 13r = 0 -19 + 19r = 19 + 0 -19 + 19r = 19 Add '19' to each side of the equation. -19 + 19 + 19r = 19 + 19 Combine like terms: -19 + 19 = 0 0 + 19r = 19 + 19 19r = 19 + 19 Combine like terms: 19 + 19 = 38 19r = 38 Divide each side by '19'. r = 2 Simplifying r = 2
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