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Simplifying -52 = -4(v + 9) Reorder the terms: -52 = -4(9 + v) -52 = (9 * -4 + v * -4) -52 = (-36 + -4v) Solving -52 = -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. -52 + 4v = -36 + -4v + 4v Combine like terms: -4v + 4v = 0 -52 + 4v = -36 + 0 -52 + 4v = -36 Add '52' to each side of the equation. -52 + 52 + 4v = -36 + 52 Combine like terms: -52 + 52 = 0 0 + 4v = -36 + 52 4v = -36 + 52 Combine like terms: -36 + 52 = 16 4v = 16 Divide each side by '4'. v = 4 Simplifying v = 4
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