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Simplifying 38 = -6v + 2(v + 3) Reorder the terms: 38 = -6v + 2(3 + v) 38 = -6v + (3 * 2 + v * 2) 38 = -6v + (6 + 2v) Reorder the terms: 38 = 6 + -6v + 2v Combine like terms: -6v + 2v = -4v 38 = 6 + -4v Solving 38 = 6 + -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 = 6 + -4v + 4v Combine like terms: -4v + 4v = 0 38 + 4v = 6 + 0 38 + 4v = 6 Add '-38' to each side of the equation. 38 + -38 + 4v = 6 + -38 Combine like terms: 38 + -38 = 0 0 + 4v = 6 + -38 4v = 6 + -38 Combine like terms: 6 + -38 = -32 4v = -32 Divide each side by '4'. v = -8 Simplifying v = -8
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