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Simplifying -7(-3v + 2) + -6v = 6(v + -3) + -8 Reorder the terms: -7(2 + -3v) + -6v = 6(v + -3) + -8 (2 * -7 + -3v * -7) + -6v = 6(v + -3) + -8 (-14 + 21v) + -6v = 6(v + -3) + -8 Combine like terms: 21v + -6v = 15v -14 + 15v = 6(v + -3) + -8 Reorder the terms: -14 + 15v = 6(-3 + v) + -8 -14 + 15v = (-3 * 6 + v * 6) + -8 -14 + 15v = (-18 + 6v) + -8 Reorder the terms: -14 + 15v = -18 + -8 + 6v Combine like terms: -18 + -8 = -26 -14 + 15v = -26 + 6v Solving -14 + 15v = -26 + 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. -14 + 15v + -6v = -26 + 6v + -6v Combine like terms: 15v + -6v = 9v -14 + 9v = -26 + 6v + -6v Combine like terms: 6v + -6v = 0 -14 + 9v = -26 + 0 -14 + 9v = -26 Add '14' to each side of the equation. -14 + 14 + 9v = -26 + 14 Combine like terms: -14 + 14 = 0 0 + 9v = -26 + 14 9v = -26 + 14 Combine like terms: -26 + 14 = -12 9v = -12 Divide each side by '9'. v = -1.333333333 Simplifying v = -1.333333333
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