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Simplifying 0.4(2r + 3) = 0.6 + 3.6 Reorder the terms: 0.4(3 + 2r) = 0.6 + 3.6 (3 * 0.4 + 2r * 0.4) = 0.6 + 3.6 (1.2 + 0.8r) = 0.6 + 3.6 Combine like terms: 0.6 + 3.6 = 4.2 1.2 + 0.8r = 4.2 Solving 1.2 + 0.8r = 4.2 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.8r = 4.2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.8r = 4.2 + -1.2 0.8r = 4.2 + -1.2 Combine like terms: 4.2 + -1.2 = 3 0.8r = 3 Divide each side by '0.8'. r = 3.75 Simplifying r = 3.75
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