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Simplifying -4(3v + 1) = -52 Reorder the terms: -4(1 + 3v) = -52 (1 * -4 + 3v * -4) = -52 (-4 + -12v) = -52 Solving -4 + -12v = -52 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -12v = -52 + 4 Combine like terms: -4 + 4 = 0 0 + -12v = -52 + 4 -12v = -52 + 4 Combine like terms: -52 + 4 = -48 -12v = -48 Divide each side by '-12'. v = 4 Simplifying v = 4
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