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Simplifying 6(v + -1) + 1 = -5 + -8v Reorder the terms: 6(-1 + v) + 1 = -5 + -8v (-1 * 6 + v * 6) + 1 = -5 + -8v (-6 + 6v) + 1 = -5 + -8v Reorder the terms: -6 + 1 + 6v = -5 + -8v Combine like terms: -6 + 1 = -5 -5 + 6v = -5 + -8v Add '5' to each side of the equation. -5 + 5 + 6v = -5 + 5 + -8v Combine like terms: -5 + 5 = 0 0 + 6v = -5 + 5 + -8v 6v = -5 + 5 + -8v Combine like terms: -5 + 5 = 0 6v = 0 + -8v 6v = -8v Solving 6v = -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 6v + 8v = -8v + 8v Combine like terms: 6v + 8v = 14v 14v = -8v + 8v Combine like terms: -8v + 8v = 0 14v = 0 Divide each side by '14'. v = 0 Simplifying v = 0
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