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Simplifying 78 = (12 + B) * 0.414 Reorder the terms for easier multiplication: 78 = 0.414(12 + B) 78 = (12 * 0.414 + B * 0.414) 78 = (4.968 + 0.414B) Solving 78 = 4.968 + 0.414B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-0.414B' to each side of the equation. 78 + -0.414B = 4.968 + 0.414B + -0.414B Combine like terms: 0.414B + -0.414B = 0.000 78 + -0.414B = 4.968 + 0.000 78 + -0.414B = 4.968 Add '-78' to each side of the equation. 78 + -78 + -0.414B = 4.968 + -78 Combine like terms: 78 + -78 = 0 0 + -0.414B = 4.968 + -78 -0.414B = 4.968 + -78 Combine like terms: 4.968 + -78 = -73.032 -0.414B = -73.032 Divide each side by '-0.414'. B = 176.4057971 Simplifying B = 176.4057971
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