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Simplifying -6(-2v + -2) + 7v = 38 + 6v Reorder the terms: -6(-2 + -2v) + 7v = 38 + 6v (-2 * -6 + -2v * -6) + 7v = 38 + 6v (12 + 12v) + 7v = 38 + 6v Combine like terms: 12v + 7v = 19v 12 + 19v = 38 + 6v Solving 12 + 19v = 38 + 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. 12 + 19v + -6v = 38 + 6v + -6v Combine like terms: 19v + -6v = 13v 12 + 13v = 38 + 6v + -6v Combine like terms: 6v + -6v = 0 12 + 13v = 38 + 0 12 + 13v = 38 Add '-12' to each side of the equation. 12 + -12 + 13v = 38 + -12 Combine like terms: 12 + -12 = 0 0 + 13v = 38 + -12 13v = 38 + -12 Combine like terms: 38 + -12 = 26 13v = 26 Divide each side by '13'. v = 2 Simplifying v = 2
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