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Simplifying 4(4 + 5v) = 6v + -12 (4 * 4 + 5v * 4) = 6v + -12 (16 + 20v) = 6v + -12 Reorder the terms: 16 + 20v = -12 + 6v Solving 16 + 20v = -12 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 16 + 20v + -6v = -12 + 6v + -6v Combine like terms: 20v + -6v = 14v 16 + 14v = -12 + 6v + -6v Combine like terms: 6v + -6v = 0 16 + 14v = -12 + 0 16 + 14v = -12 Add '-16' to each side of the equation. 16 + -16 + 14v = -12 + -16 Combine like terms: 16 + -16 = 0 0 + 14v = -12 + -16 14v = -12 + -16 Combine like terms: -12 + -16 = -28 14v = -28 Divide each side by '14'. v = -2 Simplifying v = -2
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