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Simplifying -32 = -4(v + 9) Reorder the terms: -32 = -4(9 + v) -32 = (9 * -4 + v * -4) -32 = (-36 + -4v) Solving -32 = -36 + -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. -32 + 4v = -36 + -4v + 4v Combine like terms: -4v + 4v = 0 -32 + 4v = -36 + 0 -32 + 4v = -36 Add '32' to each side of the equation. -32 + 32 + 4v = -36 + 32 Combine like terms: -32 + 32 = 0 0 + 4v = -36 + 32 4v = -36 + 32 Combine like terms: -36 + 32 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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