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Simplifying 7r + 2 = 6 + 3r Reorder the terms: 2 + 7r = 6 + 3r Solving 2 + 7r = 6 + 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. 2 + 7r + -3r = 6 + 3r + -3r Combine like terms: 7r + -3r = 4r 2 + 4r = 6 + 3r + -3r Combine like terms: 3r + -3r = 0 2 + 4r = 6 + 0 2 + 4r = 6 Add '-2' to each side of the equation. 2 + -2 + 4r = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 4r = 6 + -2 4r = 6 + -2 Combine like terms: 6 + -2 = 4 4r = 4 Divide each side by '4'. r = 1 Simplifying r = 1
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