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Simplifying 2(v + -3) + -6v = -38 Reorder the terms: 2(-3 + v) + -6v = -38 (-3 * 2 + v * 2) + -6v = -38 (-6 + 2v) + -6v = -38 Combine like terms: 2v + -6v = -4v -6 + -4v = -38 Solving -6 + -4v = -38 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -4v = -38 + 6 Combine like terms: -6 + 6 = 0 0 + -4v = -38 + 6 -4v = -38 + 6 Combine like terms: -38 + 6 = -32 -4v = -32 Divide each side by '-4'. v = 8 Simplifying v = 8
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