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Simplifying -114 = -6(1 + 6v) -114 = (1 * -6 + 6v * -6) -114 = (-6 + -36v) Solving -114 = -6 + -36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '36v' to each side of the equation. -114 + 36v = -6 + -36v + 36v Combine like terms: -36v + 36v = 0 -114 + 36v = -6 + 0 -114 + 36v = -6 Add '114' to each side of the equation. -114 + 114 + 36v = -6 + 114 Combine like terms: -114 + 114 = 0 0 + 36v = -6 + 114 36v = -6 + 114 Combine like terms: -6 + 114 = 108 36v = 108 Divide each side by '36'. v = 3 Simplifying v = 3
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