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Simplifying -6v + -30 = -6(1 + 2v) Reorder the terms: -30 + -6v = -6(1 + 2v) -30 + -6v = (1 * -6 + 2v * -6) -30 + -6v = (-6 + -12v) Solving -30 + -6v = -6 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -30 + -6v + 12v = -6 + -12v + 12v Combine like terms: -6v + 12v = 6v -30 + 6v = -6 + -12v + 12v Combine like terms: -12v + 12v = 0 -30 + 6v = -6 + 0 -30 + 6v = -6 Add '30' to each side of the equation. -30 + 30 + 6v = -6 + 30 Combine like terms: -30 + 30 = 0 0 + 6v = -6 + 30 6v = -6 + 30 Combine like terms: -6 + 30 = 24 6v = 24 Divide each side by '6'. v = 4 Simplifying v = 4
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