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Simplifying -4(1 + -4v) + -6 = -32 + 5v (1 * -4 + -4v * -4) + -6 = -32 + 5v (-4 + 16v) + -6 = -32 + 5v Reorder the terms: -4 + -6 + 16v = -32 + 5v Combine like terms: -4 + -6 = -10 -10 + 16v = -32 + 5v Solving -10 + 16v = -32 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -10 + 16v + -5v = -32 + 5v + -5v Combine like terms: 16v + -5v = 11v -10 + 11v = -32 + 5v + -5v Combine like terms: 5v + -5v = 0 -10 + 11v = -32 + 0 -10 + 11v = -32 Add '10' to each side of the equation. -10 + 10 + 11v = -32 + 10 Combine like terms: -10 + 10 = 0 0 + 11v = -32 + 10 11v = -32 + 10 Combine like terms: -32 + 10 = -22 11v = -22 Divide each side by '11'. v = -2 Simplifying v = -2
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