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Simplifying -38 + 2v = -6(-1v + 5) Reorder the terms: -38 + 2v = -6(5 + -1v) -38 + 2v = (5 * -6 + -1v * -6) -38 + 2v = (-30 + 6v) Solving -38 + 2v = -30 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -38 + 2v + -6v = -30 + 6v + -6v Combine like terms: 2v + -6v = -4v -38 + -4v = -30 + 6v + -6v Combine like terms: 6v + -6v = 0 -38 + -4v = -30 + 0 -38 + -4v = -30 Add '38' to each side of the equation. -38 + 38 + -4v = -30 + 38 Combine like terms: -38 + 38 = 0 0 + -4v = -30 + 38 -4v = -30 + 38 Combine like terms: -30 + 38 = 8 -4v = 8 Divide each side by '-4'. v = -2 Simplifying v = -2
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