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Simplifying 2r + -6 + 5r = 3 + -6r + 7 Reorder the terms: -6 + 2r + 5r = 3 + -6r + 7 Combine like terms: 2r + 5r = 7r -6 + 7r = 3 + -6r + 7 Reorder the terms: -6 + 7r = 3 + 7 + -6r Combine like terms: 3 + 7 = 10 -6 + 7r = 10 + -6r Solving -6 + 7r = 10 + -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 + 7r + 6r = 10 + -6r + 6r Combine like terms: 7r + 6r = 13r -6 + 13r = 10 + -6r + 6r Combine like terms: -6r + 6r = 0 -6 + 13r = 10 + 0 -6 + 13r = 10 Add '6' to each side of the equation. -6 + 6 + 13r = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 13r = 10 + 6 13r = 10 + 6 Combine like terms: 10 + 6 = 16 13r = 16 Divide each side by '13'. r = 1.230769231 Simplifying r = 1.230769231
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