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Simplifying 10.2 + 15.6r + -2.9r + 28.3 = 0 Reorder the terms: 10.2 + 28.3 + 15.6r + -2.9r = 0 Combine like terms: 10.2 + 28.3 = 38.5 38.5 + 15.6r + -2.9r = 0 Combine like terms: 15.6r + -2.9r = 12.7r 38.5 + 12.7r = 0 Solving 38.5 + 12.7r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-38.5' to each side of the equation. 38.5 + -38.5 + 12.7r = 0 + -38.5 Combine like terms: 38.5 + -38.5 = 0.0 0.0 + 12.7r = 0 + -38.5 12.7r = 0 + -38.5 Combine like terms: 0 + -38.5 = -38.5 12.7r = -38.5 Divide each side by '12.7'. r = -3.031496063 Simplifying r = -3.031496063
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