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Simplifying -32 = 6(v + -7) + -8V Reorder the terms: -32 = 6(-7 + v) + -8V -32 = (-7 * 6 + v * 6) + -8V -32 = (-42 + 6v) + -8V Reorder the terms: -32 = -42 + -8V + 6v Solving -32 = -42 + -8V + 6v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '8V' to each side of the equation. -32 + 8V = -42 + -8V + 8V + 6v Combine like terms: -8V + 8V = 0 -32 + 8V = -42 + 0 + 6v -32 + 8V = -42 + 6v Add '32' to each side of the equation. -32 + 32 + 8V = -42 + 32 + 6v Combine like terms: -32 + 32 = 0 0 + 8V = -42 + 32 + 6v 8V = -42 + 32 + 6v Combine like terms: -42 + 32 = -10 8V = -10 + 6v Divide each side by '8'. V = -1.25 + 0.75v Simplifying V = -1.25 + 0.75v
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