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Simplifying -5(1 + -2v) + 3 = -52 (1 * -5 + -2v * -5) + 3 = -52 (-5 + 10v) + 3 = -52 Reorder the terms: -5 + 3 + 10v = -52 Combine like terms: -5 + 3 = -2 -2 + 10v = -52 Solving -2 + 10v = -52 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 10v = -52 + 2 Combine like terms: -2 + 2 = 0 0 + 10v = -52 + 2 10v = -52 + 2 Combine like terms: -52 + 2 = -50 10v = -50 Divide each side by '10'. v = -5 Simplifying v = -5
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