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Simplifying -7(-2v + -8) = 6(v + 4) Reorder the terms: -7(-8 + -2v) = 6(v + 4) (-8 * -7 + -2v * -7) = 6(v + 4) (56 + 14v) = 6(v + 4) Reorder the terms: 56 + 14v = 6(4 + v) 56 + 14v = (4 * 6 + v * 6) 56 + 14v = (24 + 6v) Solving 56 + 14v = 24 + 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. 56 + 14v + -6v = 24 + 6v + -6v Combine like terms: 14v + -6v = 8v 56 + 8v = 24 + 6v + -6v Combine like terms: 6v + -6v = 0 56 + 8v = 24 + 0 56 + 8v = 24 Add '-56' to each side of the equation. 56 + -56 + 8v = 24 + -56 Combine like terms: 56 + -56 = 0 0 + 8v = 24 + -56 8v = 24 + -56 Combine like terms: 24 + -56 = -32 8v = -32 Divide each side by '8'. v = -4 Simplifying v = -4
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