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Simplifying 4(b + 8) = 17 + 7v Reorder the terms: 4(8 + b) = 17 + 7v (8 * 4 + b * 4) = 17 + 7v (32 + 4b) = 17 + 7v Solving 32 + 4b = 17 + 7v Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 4b = 17 + -32 + 7v Combine like terms: 32 + -32 = 0 0 + 4b = 17 + -32 + 7v 4b = 17 + -32 + 7v Combine like terms: 17 + -32 = -15 4b = -15 + 7v Divide each side by '4'. b = -3.75 + 1.75v Simplifying b = -3.75 + 1.75v
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