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Simplifying 5r + -3 = 3r + 7 Reorder the terms: -3 + 5r = 3r + 7 Reorder the terms: -3 + 5r = 7 + 3r Solving -3 + 5r = 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. -3 + 5r + -3r = 7 + 3r + -3r Combine like terms: 5r + -3r = 2r -3 + 2r = 7 + 3r + -3r Combine like terms: 3r + -3r = 0 -3 + 2r = 7 + 0 -3 + 2r = 7 Add '3' to each side of the equation. -3 + 3 + 2r = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 2r = 7 + 3 2r = 7 + 3 Combine like terms: 7 + 3 = 10 2r = 10 Divide each side by '2'. r = 5 Simplifying r = 5
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