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Simplifying -8v + 38 = -2(v + -4) Reorder the terms: 38 + -8v = -2(v + -4) Reorder the terms: 38 + -8v = -2(-4 + v) 38 + -8v = (-4 * -2 + v * -2) 38 + -8v = (8 + -2v) Solving 38 + -8v = 8 + -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 + -8v + 2v = 8 + -2v + 2v Combine like terms: -8v + 2v = -6v 38 + -6v = 8 + -2v + 2v Combine like terms: -2v + 2v = 0 38 + -6v = 8 + 0 38 + -6v = 8 Add '-38' to each side of the equation. 38 + -38 + -6v = 8 + -38 Combine like terms: 38 + -38 = 0 0 + -6v = 8 + -38 -6v = 8 + -38 Combine like terms: 8 + -38 = -30 -6v = -30 Divide each side by '-6'. v = 5 Simplifying v = 5
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