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Simplifying 4(v + -6) + -6v = -38 Reorder the terms: 4(-6 + v) + -6v = -38 (-6 * 4 + v * 4) + -6v = -38 (-24 + 4v) + -6v = -38 Combine like terms: 4v + -6v = -2v -24 + -2v = -38 Solving -24 + -2v = -38 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -2v = -38 + 24 Combine like terms: -24 + 24 = 0 0 + -2v = -38 + 24 -2v = -38 + 24 Combine like terms: -38 + 24 = -14 -2v = -14 Divide each side by '-2'. v = 7 Simplifying v = 7
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