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Simplifying -7(8 + -2v) + -7v = -16 + 2v (8 * -7 + -2v * -7) + -7v = -16 + 2v (-56 + 14v) + -7v = -16 + 2v Combine like terms: 14v + -7v = 7v -56 + 7v = -16 + 2v Solving -56 + 7v = -16 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -56 + 7v + -2v = -16 + 2v + -2v Combine like terms: 7v + -2v = 5v -56 + 5v = -16 + 2v + -2v Combine like terms: 2v + -2v = 0 -56 + 5v = -16 + 0 -56 + 5v = -16 Add '56' to each side of the equation. -56 + 56 + 5v = -16 + 56 Combine like terms: -56 + 56 = 0 0 + 5v = -16 + 56 5v = -16 + 56 Combine like terms: -16 + 56 = 40 5v = 40 Divide each side by '5'. v = 8 Simplifying v = 8
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