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Simplifying 3.2r(3.2 + 6.8) = 2.5(2r + 4) Combine like terms: 3.2 + 6.8 = 10 3.2r(10) = 2.5(2r + 4) Reorder the terms for easier multiplication: 3.2 * 10r = 2.5(2r + 4) Multiply 3.2 * 10 32r = 2.5(2r + 4) Reorder the terms: 32r = 2.5(4 + 2r) 32r = (4 * 2.5 + 2r * 2.5) 32r = (10 + 5r) Solving 32r = 10 + 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. 32r + -5r = 10 + 5r + -5r Combine like terms: 32r + -5r = 27r 27r = 10 + 5r + -5r Combine like terms: 5r + -5r = 0 27r = 10 + 0 27r = 10 Divide each side by '27'. r = 0.3703703704 Simplifying r = 0.3703703704
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