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Simplifying -38 + -8v = -2(1 + 7v) -38 + -8v = (1 * -2 + 7v * -2) -38 + -8v = (-2 + -14v) Solving -38 + -8v = -2 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. -38 + -8v + 14v = -2 + -14v + 14v Combine like terms: -8v + 14v = 6v -38 + 6v = -2 + -14v + 14v Combine like terms: -14v + 14v = 0 -38 + 6v = -2 + 0 -38 + 6v = -2 Add '38' to each side of the equation. -38 + 38 + 6v = -2 + 38 Combine like terms: -38 + 38 = 0 0 + 6v = -2 + 38 6v = -2 + 38 Combine like terms: -2 + 38 = 36 6v = 36 Divide each side by '6'. v = 6 Simplifying v = 6
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