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Simplifying -2(6v + -7) + 7v = 4(v + 5) Reorder the terms: -2(-7 + 6v) + 7v = 4(v + 5) (-7 * -2 + 6v * -2) + 7v = 4(v + 5) (14 + -12v) + 7v = 4(v + 5) Combine like terms: -12v + 7v = -5v 14 + -5v = 4(v + 5) Reorder the terms: 14 + -5v = 4(5 + v) 14 + -5v = (5 * 4 + v * 4) 14 + -5v = (20 + 4v) Solving 14 + -5v = 20 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 14 + -5v + -4v = 20 + 4v + -4v Combine like terms: -5v + -4v = -9v 14 + -9v = 20 + 4v + -4v Combine like terms: 4v + -4v = 0 14 + -9v = 20 + 0 14 + -9v = 20 Add '-14' to each side of the equation. 14 + -14 + -9v = 20 + -14 Combine like terms: 14 + -14 = 0 0 + -9v = 20 + -14 -9v = 20 + -14 Combine like terms: 20 + -14 = 6 -9v = 6 Divide each side by '-9'. v = -0.6666666667 Simplifying v = -0.6666666667
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