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Simplifying (B * 10) + (v * 5) + (c * 0.5) = 100 Reorder the terms for easier multiplication: (10B) + (v * 5) + (c * 0.5) = 100 Reorder the terms for easier multiplication: (10B) + (5v) + (c * 0.5) = 100 Reorder the terms for easier multiplication: (10B) + (5v) + (0.5c) = 100 Reorder the terms: (10B) + (0.5c) + (5v) = 100 Solving (10B) + (0.5c) + (5v) = 100 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '(-0.5c)' to each side of the equation. (10B) + (0.5c) + (-0.5c) + (5v) = 100 + (-0.5c) Combine like terms: (0.5c) + (-0.5c) = 0.0 (10B) + 0.0 + (5v) = 100 + (-0.5c) (10B) + (5v) = 100 + (-0.5c) Add '(-5v)' to each side of the equation. (10B) + (5v) + (-5v) = 100 + (-0.5c) + (-5v) Combine like terms: (5v) + (-5v) = 0 (10B) + 0 = 100 + (-0.5c) + (-5v) (10B) = 100 + (-0.5c) + (-5v) Divide each side by '10'. B = 10 + (-0.05c) + (-0.5v) Simplifying B = 10 + (-0.05c) + (-0.5v)
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