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Simplifying 7(3.4b + -1.2) = 115.5 Reorder the terms: 7(-1.2 + 3.4b) = 115.5 (-1.2 * 7 + 3.4b * 7) = 115.5 (-8.4 + 23.8b) = 115.5 Solving -8.4 + 23.8b = 115.5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8.4' to each side of the equation. -8.4 + 8.4 + 23.8b = 115.5 + 8.4 Combine like terms: -8.4 + 8.4 = 0.0 0.0 + 23.8b = 115.5 + 8.4 23.8b = 115.5 + 8.4 Combine like terms: 115.5 + 8.4 = 123.9 23.8b = 123.9 Divide each side by '23.8'. b = 5.205882353 Simplifying b = 5.205882353
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