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Simplifying -6v + 2(v + 3) = 38 Reorder the terms: -6v + 2(3 + v) = 38 -6v + (3 * 2 + v * 2) = 38 -6v + (6 + 2v) = 38 Reorder the terms: 6 + -6v + 2v = 38 Combine like terms: -6v + 2v = -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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