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Simplifying 4.6r + 8 = 3.9r + -27 Reorder the terms: 8 + 4.6r = 3.9r + -27 Reorder the terms: 8 + 4.6r = -27 + 3.9r Solving 8 + 4.6r = -27 + 3.9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3.9r' to each side of the equation. 8 + 4.6r + -3.9r = -27 + 3.9r + -3.9r Combine like terms: 4.6r + -3.9r = 0.7r 8 + 0.7r = -27 + 3.9r + -3.9r Combine like terms: 3.9r + -3.9r = 0.0 8 + 0.7r = -27 + 0.0 8 + 0.7r = -27 Add '-8' to each side of the equation. 8 + -8 + 0.7r = -27 + -8 Combine like terms: 8 + -8 = 0 0 + 0.7r = -27 + -8 0.7r = -27 + -8 Combine like terms: -27 + -8 = -35 0.7r = -35 Divide each side by '0.7'. r = -50 Simplifying r = -50
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