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Simplifying -8V + 4(v + 2) = 32 Reorder the terms: -8V + 4(2 + v) = 32 -8V + (2 * 4 + v * 4) = 32 -8V + (8 + 4v) = 32 Reorder the terms: 8 + -8V + 4v = 32 Solving 8 + -8V + 4v = 32 Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8V + -8 + 4v = 32 + -8 Reorder the terms: 8 + -8 + -8V + 4v = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -8V + 4v = 32 + -8 -8V + 4v = 32 + -8 Combine like terms: 32 + -8 = 24 -8V + 4v = 24 Add '-4v' to each side of the equation. -8V + 4v + -4v = 24 + -4v Combine like terms: 4v + -4v = 0 -8V + 0 = 24 + -4v -8V = 24 + -4v Divide each side by '-8'. V = -3 + 0.5v Simplifying V = -3 + 0.5v
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