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Simplifying 3.08r(12) + 18.97 = 2.87r(12) + 20.08 Reorder the terms for easier multiplication: 3.08 * 12r + 18.97 = 2.87r(12) + 20.08 Multiply 3.08 * 12 36.96r + 18.97 = 2.87r(12) + 20.08 Reorder the terms: 18.97 + 36.96r = 2.87r(12) + 20.08 Reorder the terms for easier multiplication: 18.97 + 36.96r = 2.87 * 12r + 20.08 Multiply 2.87 * 12 18.97 + 36.96r = 34.44r + 20.08 Reorder the terms: 18.97 + 36.96r = 20.08 + 34.44r Solving 18.97 + 36.96r = 20.08 + 34.44r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-34.44r' to each side of the equation. 18.97 + 36.96r + -34.44r = 20.08 + 34.44r + -34.44r Combine like terms: 36.96r + -34.44r = 2.52r 18.97 + 2.52r = 20.08 + 34.44r + -34.44r Combine like terms: 34.44r + -34.44r = 0.00 18.97 + 2.52r = 20.08 + 0.00 18.97 + 2.52r = 20.08 Add '-18.97' to each side of the equation. 18.97 + -18.97 + 2.52r = 20.08 + -18.97 Combine like terms: 18.97 + -18.97 = 0.00 0.00 + 2.52r = 20.08 + -18.97 2.52r = 20.08 + -18.97 Combine like terms: 20.08 + -18.97 = 1.11 2.52r = 1.11 Divide each side by '2.52'. r = 0.4404761905 Simplifying r = 0.4404761905
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