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Simplifying -8v + 12v + -1(-14v) + (-16v) + (-2) = -16 Remove parenthesis around (-14v) -8v + 12v + -1 * -14v + (-16v) + (-2) = -16 Multiply -1 * -14 -8v + 12v + 14v + (-16v) + (-2) = -16 -8v + 12v + 14v + (-16v) + -2 = -16 Reorder the terms: -2 + -8v + 12v + 14v + (-16v) = -16 Combine like terms: -8v + 12v = 4v -2 + 4v + 14v + (-16v) = -16 Combine like terms: 4v + 14v = 18v -2 + 18v + (-16v) = -16 Combine like terms: 18v + (-16v) = 2v -2 + 2v = -16 Solving -2 + 2v = -16 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2v = -16 + 2 Combine like terms: -2 + 2 = 0 0 + 2v = -16 + 2 2v = -16 + 2 Combine like terms: -16 + 2 = -14 2v = -14 Divide each side by '2'. v = -7 Simplifying v = -7
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