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Simplifying 0.3(r + -2) = 0.4r Reorder the terms: 0.3(-2 + r) = 0.4r (-2 * 0.3 + r * 0.3) = 0.4r (-0.6 + 0.3r) = 0.4r Solving -0.6 + 0.3r = 0.4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.4r' to each side of the equation. -0.6 + 0.3r + -0.4r = 0.4r + -0.4r Combine like terms: 0.3r + -0.4r = -0.1r -0.6 + -0.1r = 0.4r + -0.4r Combine like terms: 0.4r + -0.4r = 0.0 -0.6 + -0.1r = 0.0 Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.1r = 0.0 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.1r = 0.0 + 0.6 -0.1r = 0.0 + 0.6 Combine like terms: 0.0 + 0.6 = 0.6 -0.1r = 0.6 Divide each side by '-0.1'. r = -6 Simplifying r = -6
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