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Simplifying -1v + -6 = -6v + -1v Reorder the terms: -6 + -1v = -6v + -1v Combine like terms: -6v + -1v = -7v -6 + -1v = -7v Solving -6 + -1v = -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. -6 + -1v + 7v = -7v + 7v Combine like terms: -1v + 7v = 6v -6 + 6v = -7v + 7v Combine like terms: -7v + 7v = 0 -6 + 6v = 0 Add '6' to each side of the equation. -6 + 6 + 6v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6v = 0 + 6 6v = 0 + 6 Combine like terms: 0 + 6 = 6 6v = 6 Divide each side by '6'. v = 1 Simplifying v = 1
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