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Simplifying -5r + 3.8 + -3.4r + 3.7r + -3 = 0 Reorder the terms: 3.8 + -3 + -5r + -3.4r + 3.7r = 0 Combine like terms: 3.8 + -3 = 0.8 0.8 + -5r + -3.4r + 3.7r = 0 Combine like terms: -5r + -3.4r = -8.4r 0.8 + -8.4r + 3.7r = 0 Combine like terms: -8.4r + 3.7r = -4.7r 0.8 + -4.7r = 0 Solving 0.8 + -4.7r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + -4.7r = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -4.7r = 0 + -0.8 -4.7r = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 -4.7r = -0.8 Divide each side by '-4.7'. r = 0.170212766 Simplifying r = 0.170212766
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