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Simplifying 2r + -6 + 5r = 3r + 7 Reorder the terms: -6 + 2r + 5r = 3r + 7 Combine like terms: 2r + 5r = 7r -6 + 7r = 3r + 7 Reorder the terms: -6 + 7r = 7 + 3r Solving -6 + 7r = 7 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -6 + 7r + -3r = 7 + 3r + -3r Combine like terms: 7r + -3r = 4r -6 + 4r = 7 + 3r + -3r Combine like terms: 3r + -3r = 0 -6 + 4r = 7 + 0 -6 + 4r = 7 Add '6' to each side of the equation. -6 + 6 + 4r = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 4r = 7 + 6 4r = 7 + 6 Combine like terms: 7 + 6 = 13 4r = 13 Divide each side by '4'. r = 3.25 Simplifying r = 3.25
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