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Simplifying 3(2r + -3) = 0.2r + 0.9 Reorder the terms: 3(-3 + 2r) = 0.2r + 0.9 (-3 * 3 + 2r * 3) = 0.2r + 0.9 (-9 + 6r) = 0.2r + 0.9 Reorder the terms: -9 + 6r = 0.9 + 0.2r Solving -9 + 6r = 0.9 + 0.2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.2r' to each side of the equation. -9 + 6r + -0.2r = 0.9 + 0.2r + -0.2r Combine like terms: 6r + -0.2r = 5.8r -9 + 5.8r = 0.9 + 0.2r + -0.2r Combine like terms: 0.2r + -0.2r = 0.0 -9 + 5.8r = 0.9 + 0.0 -9 + 5.8r = 0.9 Add '9' to each side of the equation. -9 + 9 + 5.8r = 0.9 + 9 Combine like terms: -9 + 9 = 0 0 + 5.8r = 0.9 + 9 5.8r = 0.9 + 9 Combine like terms: 0.9 + 9 = 9.9 5.8r = 9.9 Divide each side by '5.8'. r = 1.706896552 Simplifying r = 1.706896552
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