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Simplifying -38 = 2(v + -5) + -6v Reorder the terms: -38 = 2(-5 + v) + -6v -38 = (-5 * 2 + v * 2) + -6v -38 = (-10 + 2v) + -6v Combine like terms: 2v + -6v = -4v -38 = -10 + -4v Solving -38 = -10 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -38 + 4v = -10 + -4v + 4v Combine like terms: -4v + 4v = 0 -38 + 4v = -10 + 0 -38 + 4v = -10 Add '38' to each side of the equation. -38 + 38 + 4v = -10 + 38 Combine like terms: -38 + 38 = 0 0 + 4v = -10 + 38 4v = -10 + 38 Combine like terms: -10 + 38 = 28 4v = 28 Divide each side by '4'. v = 7 Simplifying v = 7
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