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