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Simplifying 6.2(19.8 + -1r) = 37.7r + -49.2 (19.8 * 6.2 + -1r * 6.2) = 37.7r + -49.2 (122.76 + -6.2r) = 37.7r + -49.2 Reorder the terms: 122.76 + -6.2r = -49.2 + 37.7r Solving 122.76 + -6.2r = -49.2 + 37.7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-37.7r' to each side of the equation. 122.76 + -6.2r + -37.7r = -49.2 + 37.7r + -37.7r Combine like terms: -6.2r + -37.7r = -43.9r 122.76 + -43.9r = -49.2 + 37.7r + -37.7r Combine like terms: 37.7r + -37.7r = 0.0 122.76 + -43.9r = -49.2 + 0.0 122.76 + -43.9r = -49.2 Add '-122.76' to each side of the equation. 122.76 + -122.76 + -43.9r = -49.2 + -122.76 Combine like terms: 122.76 + -122.76 = 0.00 0.00 + -43.9r = -49.2 + -122.76 -43.9r = -49.2 + -122.76 Combine like terms: -49.2 + -122.76 = -171.96 -43.9r = -171.96 Divide each side by '-43.9'. r = 3.917084282 Simplifying r = 3.917084282
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