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Simplifying 3r + 12 + 2r + 10 = 32 Reorder the terms: 12 + 10 + 3r + 2r = 32 Combine like terms: 12 + 10 = 22 22 + 3r + 2r = 32 Combine like terms: 3r + 2r = 5r 22 + 5r = 32 Solving 22 + 5r = 32 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 5r = 32 + -22 Combine like terms: 22 + -22 = 0 0 + 5r = 32 + -22 5r = 32 + -22 Combine like terms: 32 + -22 = 10 5r = 10 Divide each side by '5'. r = 2 Simplifying r = 2
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