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Simplifying -1(v + -7) = -8 + -6v Reorder the terms: -1(-7 + v) = -8 + -6v (-7 * -1 + v * -1) = -8 + -6v (7 + -1v) = -8 + -6v Solving 7 + -1v = -8 + -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. 7 + -1v + 6v = -8 + -6v + 6v Combine like terms: -1v + 6v = 5v 7 + 5v = -8 + -6v + 6v Combine like terms: -6v + 6v = 0 7 + 5v = -8 + 0 7 + 5v = -8 Add '-7' to each side of the equation. 7 + -7 + 5v = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 5v = -8 + -7 5v = -8 + -7 Combine like terms: -8 + -7 = -15 5v = -15 Divide each side by '5'. v = -3 Simplifying v = -3
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