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Simplifying -5r + 6 = -7r + 10 Reorder the terms: 6 + -5r = -7r + 10 Reorder the terms: 6 + -5r = 10 + -7r Solving 6 + -5r = 10 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 6 + -5r + 7r = 10 + -7r + 7r Combine like terms: -5r + 7r = 2r 6 + 2r = 10 + -7r + 7r Combine like terms: -7r + 7r = 0 6 + 2r = 10 + 0 6 + 2r = 10 Add '-6' to each side of the equation. 6 + -6 + 2r = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 2r = 10 + -6 2r = 10 + -6 Combine like terms: 10 + -6 = 4 2r = 4 Divide each side by '2'. r = 2 Simplifying r = 2
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