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Simplifying 2.4(-2r + 8) + 0.4r = 0 Reorder the terms: 2.4(8 + -2r) + 0.4r = 0 (8 * 2.4 + -2r * 2.4) + 0.4r = 0 (19.2 + -4.8r) + 0.4r = 0 Combine like terms: -4.8r + 0.4r = -4.4r 19.2 + -4.4r = 0 Solving 19.2 + -4.4r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-19.2' to each side of the equation. 19.2 + -19.2 + -4.4r = 0 + -19.2 Combine like terms: 19.2 + -19.2 = 0.0 0.0 + -4.4r = 0 + -19.2 -4.4r = 0 + -19.2 Combine like terms: 0 + -19.2 = -19.2 -4.4r = -19.2 Divide each side by '-4.4'. r = 4.363636364 Simplifying r = 4.363636364
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