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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 = -8r 7 + -8r = -3 + 5r + -5r Combine like terms: 5r + -5r = 0 7 + -8r = -3 + 0 7 + -8r = -3 Add '-7' to each side of the equation. 7 + -7 + -8r = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -8r = -3 + -7 -8r = -3 + -7 Combine like terms: -3 + -7 = -10 -8r = -10 Divide each side by '-8'. r = 1.25 Simplifying r = 1.25
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