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Simplifying -5v = -1v + -6(v + -1) Reorder the terms: -5v = -1v + -6(-1 + v) -5v = -1v + (-1 * -6 + v * -6) -5v = -1v + (6 + -6v) Reorder the terms: -5v = 6 + -1v + -6v Combine like terms: -1v + -6v = -7v -5v = 6 + -7v Solving -5v = 6 + -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. -5v + 7v = 6 + -7v + 7v Combine like terms: -5v + 7v = 2v 2v = 6 + -7v + 7v Combine like terms: -7v + 7v = 0 2v = 6 + 0 2v = 6 Divide each side by '2'. v = 3 Simplifying v = 3
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