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Simplifying 5(-4v + 2) = -4v + -38 Reorder the terms: 5(2 + -4v) = -4v + -38 (2 * 5 + -4v * 5) = -4v + -38 (10 + -20v) = -4v + -38 Reorder the terms: 10 + -20v = -38 + -4v Solving 10 + -20v = -38 + -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. 10 + -20v + 4v = -38 + -4v + 4v Combine like terms: -20v + 4v = -16v 10 + -16v = -38 + -4v + 4v Combine like terms: -4v + 4v = 0 10 + -16v = -38 + 0 10 + -16v = -38 Add '-10' to each side of the equation. 10 + -10 + -16v = -38 + -10 Combine like terms: 10 + -10 = 0 0 + -16v = -38 + -10 -16v = -38 + -10 Combine like terms: -38 + -10 = -48 -16v = -48 Divide each side by '-16'. v = 3 Simplifying v = 3
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