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Simplifying 7r + 5 = 3r + 2 + (-1r) + 3 Reorder the terms: 5 + 7r = 3r + 2 + (-1r) + 3 Reorder the terms: 5 + 7r = 2 + 3 + 3r + (-1r) Combine like terms: 2 + 3 = 5 5 + 7r = 5 + 3r + (-1r) Combine like terms: 3r + (-1r) = 2r 5 + 7r = 5 + 2r Add '-5' to each side of the equation. 5 + -5 + 7r = 5 + -5 + 2r Combine like terms: 5 + -5 = 0 0 + 7r = 5 + -5 + 2r 7r = 5 + -5 + 2r Combine like terms: 5 + -5 = 0 7r = 0 + 2r 7r = 2r Solving 7r = 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 7r + -2r = 2r + -2r Combine like terms: 7r + -2r = 5r 5r = 2r + -2r Combine like terms: 2r + -2r = 0 5r = 0 Divide each side by '5'. r = 0 Simplifying r = 0
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