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Simplifying 8v + -4(v + -4) = -32 + -4v Reorder the terms: 8v + -4(-4 + v) = -32 + -4v 8v + (-4 * -4 + v * -4) = -32 + -4v 8v + (16 + -4v) = -32 + -4v Reorder the terms: 16 + 8v + -4v = -32 + -4v Combine like terms: 8v + -4v = 4v 16 + 4v = -32 + -4v Solving 16 + 4v = -32 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 16 + 4v + 4v = -32 + -4v + 4v Combine like terms: 4v + 4v = 8v 16 + 8v = -32 + -4v + 4v Combine like terms: -4v + 4v = 0 16 + 8v = -32 + 0 16 + 8v = -32 Add '-16' to each side of the equation. 16 + -16 + 8v = -32 + -16 Combine like terms: 16 + -16 = 0 0 + 8v = -32 + -16 8v = -32 + -16 Combine like terms: -32 + -16 = -48 8v = -48 Divide each side by '8'. v = -6 Simplifying v = -6
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