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Simplifying 5r + -7 = 3r + 2 Reorder the terms: -7 + 5r = 3r + 2 Reorder the terms: -7 + 5r = 2 + 3r Solving -7 + 5r = 2 + 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. -7 + 5r + -3r = 2 + 3r + -3r Combine like terms: 5r + -3r = 2r -7 + 2r = 2 + 3r + -3r Combine like terms: 3r + -3r = 0 -7 + 2r = 2 + 0 -7 + 2r = 2 Add '7' to each side of the equation. -7 + 7 + 2r = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 2r = 2 + 7 2r = 2 + 7 Combine like terms: 2 + 7 = 9 2r = 9 Divide each side by '2'. r = 4.5 Simplifying r = 4.5
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