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Simplifying -40 = -4(2v + 8) Reorder the terms: -40 = -4(8 + 2v) -40 = (8 * -4 + 2v * -4) -40 = (-32 + -8v) Solving -40 = -32 + -8v 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. -40 + 8v = -32 + -8v + 8v Combine like terms: -8v + 8v = 0 -40 + 8v = -32 + 0 -40 + 8v = -32 Add '40' to each side of the equation. -40 + 40 + 8v = -32 + 40 Combine like terms: -40 + 40 = 0 0 + 8v = -32 + 40 8v = -32 + 40 Combine like terms: -32 + 40 = 8 8v = 8 Divide each side by '8'. v = 1 Simplifying v = 1
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