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Simplifying -36 + 6v = 6(5 + -1v) + -6 -36 + 6v = (5 * 6 + -1v * 6) + -6 -36 + 6v = (30 + -6v) + -6 Reorder the terms: -36 + 6v = 30 + -6 + -6v Combine like terms: 30 + -6 = 24 -36 + 6v = 24 + -6v Solving -36 + 6v = 24 + -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. -36 + 6v + 6v = 24 + -6v + 6v Combine like terms: 6v + 6v = 12v -36 + 12v = 24 + -6v + 6v Combine like terms: -6v + 6v = 0 -36 + 12v = 24 + 0 -36 + 12v = 24 Add '36' to each side of the equation. -36 + 36 + 12v = 24 + 36 Combine like terms: -36 + 36 = 0 0 + 12v = 24 + 36 12v = 24 + 36 Combine like terms: 24 + 36 = 60 12v = 60 Divide each side by '12'. v = 5 Simplifying v = 5
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