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Simplifying r2 + 36 + 12r = 81 + r2 Reorder the terms: 36 + 12r + r2 = 81 + r2 Add '-1r2' to each side of the equation. 36 + 12r + r2 + -1r2 = 81 + r2 + -1r2 Combine like terms: r2 + -1r2 = 0 36 + 12r + 0 = 81 + r2 + -1r2 36 + 12r = 81 + r2 + -1r2 Combine like terms: r2 + -1r2 = 0 36 + 12r = 81 + 0 36 + 12r = 81 Solving 36 + 12r = 81 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 12r = 81 + -36 Combine like terms: 36 + -36 = 0 0 + 12r = 81 + -36 12r = 81 + -36 Combine like terms: 81 + -36 = 45 12r = 45 Divide each side by '12'. r = 3.75 Simplifying r = 3.75
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