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Simplifying 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 = -4 -2r = -4 Divide each side by '-2'. r = 2 Simplifying r = 2
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