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Simplifying 7r + 6 = 5r + 7 Reorder the terms: 6 + 7r = 5r + 7 Reorder the terms: 6 + 7r = 7 + 5r Solving 6 + 7r = 7 + 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. 6 + 7r + -5r = 7 + 5r + -5r Combine like terms: 7r + -5r = 2r 6 + 2r = 7 + 5r + -5r Combine like terms: 5r + -5r = 0 6 + 2r = 7 + 0 6 + 2r = 7 Add '-6' to each side of the equation. 6 + -6 + 2r = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 2r = 7 + -6 2r = 7 + -6 Combine like terms: 7 + -6 = 1 2r = 1 Divide each side by '2'. r = 0.5 Simplifying r = 0.5
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