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Simplifying 5 + -2(-3 + v) = -1(6v + -7) 5 + (-3 * -2 + v * -2) = -1(6v + -7) 5 + (6 + -2v) = -1(6v + -7) Combine like terms: 5 + 6 = 11 11 + -2v = -1(6v + -7) Reorder the terms: 11 + -2v = -1(-7 + 6v) 11 + -2v = (-7 * -1 + 6v * -1) 11 + -2v = (7 + -6v) Solving 11 + -2v = 7 + -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. 11 + -2v + 6v = 7 + -6v + 6v Combine like terms: -2v + 6v = 4v 11 + 4v = 7 + -6v + 6v Combine like terms: -6v + 6v = 0 11 + 4v = 7 + 0 11 + 4v = 7 Add '-11' to each side of the equation. 11 + -11 + 4v = 7 + -11 Combine like terms: 11 + -11 = 0 0 + 4v = 7 + -11 4v = 7 + -11 Combine like terms: 7 + -11 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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