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Simplifying -6(v + -2) + -1 = -1(7v + -6) Reorder the terms: -6(-2 + v) + -1 = -1(7v + -6) (-2 * -6 + v * -6) + -1 = -1(7v + -6) (12 + -6v) + -1 = -1(7v + -6) Reorder the terms: 12 + -1 + -6v = -1(7v + -6) Combine like terms: 12 + -1 = 11 11 + -6v = -1(7v + -6) Reorder the terms: 11 + -6v = -1(-6 + 7v) 11 + -6v = (-6 * -1 + 7v * -1) 11 + -6v = (6 + -7v) Solving 11 + -6v = 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. 11 + -6v + 7v = 6 + -7v + 7v Combine like terms: -6v + 7v = 1v 11 + 1v = 6 + -7v + 7v Combine like terms: -7v + 7v = 0 11 + 1v = 6 + 0 11 + 1v = 6 Add '-11' to each side of the equation. 11 + -11 + 1v = 6 + -11 Combine like terms: 11 + -11 = 0 0 + 1v = 6 + -11 1v = 6 + -11 Combine like terms: 6 + -11 = -5 1v = -5 Divide each side by '1'. v = -5 Simplifying v = -5
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