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Simplifying 2.6(3r + -9) + -0.4r = 0 Reorder the terms: 2.6(-9 + 3r) + -0.4r = 0 (-9 * 2.6 + 3r * 2.6) + -0.4r = 0 (-23.4 + 7.8r) + -0.4r = 0 Combine like terms: 7.8r + -0.4r = 7.4r -23.4 + 7.4r = 0 Solving -23.4 + 7.4r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '23.4' to each side of the equation. -23.4 + 23.4 + 7.4r = 0 + 23.4 Combine like terms: -23.4 + 23.4 = 0.0 0.0 + 7.4r = 0 + 23.4 7.4r = 0 + 23.4 Combine like terms: 0 + 23.4 = 23.4 7.4r = 23.4 Divide each side by '7.4'. r = 3.162162162 Simplifying r = 3.162162162
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