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Simplifying 0.3(2r + -3) = 0.2r + 0.9 Reorder the terms: 0.3(-3 + 2r) = 0.2r + 0.9 (-3 * 0.3 + 2r * 0.3) = 0.2r + 0.9 (-0.9 + 0.6r) = 0.2r + 0.9 Reorder the terms: -0.9 + 0.6r = 0.9 + 0.2r Solving -0.9 + 0.6r = 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. -0.9 + 0.6r + -0.2r = 0.9 + 0.2r + -0.2r Combine like terms: 0.6r + -0.2r = 0.4r -0.9 + 0.4r = 0.9 + 0.2r + -0.2r Combine like terms: 0.2r + -0.2r = 0.0 -0.9 + 0.4r = 0.9 + 0.0 -0.9 + 0.4r = 0.9 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.4r = 0.9 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.4r = 0.9 + 0.9 0.4r = 0.9 + 0.9 Combine like terms: 0.9 + 0.9 = 1.8 0.4r = 1.8 Divide each side by '0.4'. r = 4.5 Simplifying r = 4.5
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