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Simplifying 2(2 + 7v) = -38 + 7v (2 * 2 + 7v * 2) = -38 + 7v (4 + 14v) = -38 + 7v Solving 4 + 14v = -38 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 4 + 14v + -7v = -38 + 7v + -7v Combine like terms: 14v + -7v = 7v 4 + 7v = -38 + 7v + -7v Combine like terms: 7v + -7v = 0 4 + 7v = -38 + 0 4 + 7v = -38 Add '-4' to each side of the equation. 4 + -4 + 7v = -38 + -4 Combine like terms: 4 + -4 = 0 0 + 7v = -38 + -4 7v = -38 + -4 Combine like terms: -38 + -4 = -42 7v = -42 Divide each side by '7'. v = -6 Simplifying v = -6
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