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Simplifying -4(3v + 7) = 20 + 4v Reorder the terms: -4(7 + 3v) = 20 + 4v (7 * -4 + 3v * -4) = 20 + 4v (-28 + -12v) = 20 + 4v Solving -28 + -12v = 20 + 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. -28 + -12v + -4v = 20 + 4v + -4v Combine like terms: -12v + -4v = -16v -28 + -16v = 20 + 4v + -4v Combine like terms: 4v + -4v = 0 -28 + -16v = 20 + 0 -28 + -16v = 20 Add '28' to each side of the equation. -28 + 28 + -16v = 20 + 28 Combine like terms: -28 + 28 = 0 0 + -16v = 20 + 28 -16v = 20 + 28 Combine like terms: 20 + 28 = 48 -16v = 48 Divide each side by '-16'. v = -3 Simplifying v = -3
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