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Simplifying 2(2 + -7v) = 2v + 6(-8 + -2v) (2 * 2 + -7v * 2) = 2v + 6(-8 + -2v) (4 + -14v) = 2v + 6(-8 + -2v) 4 + -14v = 2v + (-8 * 6 + -2v * 6) 4 + -14v = 2v + (-48 + -12v) Reorder the terms: 4 + -14v = -48 + 2v + -12v Combine like terms: 2v + -12v = -10v 4 + -14v = -48 + -10v Solving 4 + -14v = -48 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. 4 + -14v + 10v = -48 + -10v + 10v Combine like terms: -14v + 10v = -4v 4 + -4v = -48 + -10v + 10v Combine like terms: -10v + 10v = 0 4 + -4v = -48 + 0 4 + -4v = -48 Add '-4' to each side of the equation. 4 + -4 + -4v = -48 + -4 Combine like terms: 4 + -4 = 0 0 + -4v = -48 + -4 -4v = -48 + -4 Combine like terms: -48 + -4 = -52 -4v = -52 Divide each side by '-4'. v = 13 Simplifying v = 13
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