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Simplifying -3(v + -4) = 2v + -38 Reorder the terms: -3(-4 + v) = 2v + -38 (-4 * -3 + v * -3) = 2v + -38 (12 + -3v) = 2v + -38 Reorder the terms: 12 + -3v = -38 + 2v Solving 12 + -3v = -38 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 12 + -3v + -2v = -38 + 2v + -2v Combine like terms: -3v + -2v = -5v 12 + -5v = -38 + 2v + -2v Combine like terms: 2v + -2v = 0 12 + -5v = -38 + 0 12 + -5v = -38 Add '-12' to each side of the equation. 12 + -12 + -5v = -38 + -12 Combine like terms: 12 + -12 = 0 0 + -5v = -38 + -12 -5v = -38 + -12 Combine like terms: -38 + -12 = -50 -5v = -50 Divide each side by '-5'. v = 10 Simplifying v = 10
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