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Simplifying 8 = 8b + -4(v + -8) Reorder the terms: 8 = 8b + -4(-8 + v) 8 = 8b + (-8 * -4 + v * -4) 8 = 8b + (32 + -4v) Reorder the terms: 8 = 32 + 8b + -4v Solving 8 = 32 + 8b + -4v Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 8 + -8b = 32 + 8b + -8b + -4v Combine like terms: 8b + -8b = 0 8 + -8b = 32 + 0 + -4v 8 + -8b = 32 + -4v Add '-8' to each side of the equation. 8 + -8 + -8b = 32 + -8 + -4v Combine like terms: 8 + -8 = 0 0 + -8b = 32 + -8 + -4v -8b = 32 + -8 + -4v Combine like terms: 32 + -8 = 24 -8b = 24 + -4v Divide each side by '-8'. b = -3 + 0.5v Simplifying b = -3 + 0.5v
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