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Simplifying -38 = -8v + 6(v + -6) Reorder the terms: -38 = -8v + 6(-6 + v) -38 = -8v + (-6 * 6 + v * 6) -38 = -8v + (-36 + 6v) Reorder the terms: -38 = -36 + -8v + 6v Combine like terms: -8v + 6v = -2v -38 = -36 + -2v Solving -38 = -36 + -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. -38 + 2v = -36 + -2v + 2v Combine like terms: -2v + 2v = 0 -38 + 2v = -36 + 0 -38 + 2v = -36 Add '38' to each side of the equation. -38 + 38 + 2v = -36 + 38 Combine like terms: -38 + 38 = 0 0 + 2v = -36 + 38 2v = -36 + 38 Combine like terms: -36 + 38 = 2 2v = 2 Divide each side by '2'. v = 1 Simplifying v = 1
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