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Simplifying 0.3(2r + -3) = 0.2 + 0.9 Reorder the terms: 0.3(-3 + 2r) = 0.2 + 0.9 (-3 * 0.3 + 2r * 0.3) = 0.2 + 0.9 (-0.9 + 0.6r) = 0.2 + 0.9 Combine like terms: 0.2 + 0.9 = 1.1 -0.9 + 0.6r = 1.1 Solving -0.9 + 0.6r = 1.1 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.6r = 1.1 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.6r = 1.1 + 0.9 0.6r = 1.1 + 0.9 Combine like terms: 1.1 + 0.9 = 2 0.6r = 2 Divide each side by '0.6'. r = 3.333333333 Simplifying r = 3.333333333
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