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Simplifying -38 + 8v = -2(-8v + 3) Reorder the terms: -38 + 8v = -2(3 + -8v) -38 + 8v = (3 * -2 + -8v * -2) -38 + 8v = (-6 + 16v) Solving -38 + 8v = -6 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -38 + 8v + -16v = -6 + 16v + -16v Combine like terms: 8v + -16v = -8v -38 + -8v = -6 + 16v + -16v Combine like terms: 16v + -16v = 0 -38 + -8v = -6 + 0 -38 + -8v = -6 Add '38' to each side of the equation. -38 + 38 + -8v = -6 + 38 Combine like terms: -38 + 38 = 0 0 + -8v = -6 + 38 -8v = -6 + 38 Combine like terms: -6 + 38 = 32 -8v = 32 Divide each side by '-8'. v = -4 Simplifying v = -4
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