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Simplifying 5(v + -7) + -9 = -7(-2v + 6) + -3v Reorder the terms: 5(-7 + v) + -9 = -7(-2v + 6) + -3v (-7 * 5 + v * 5) + -9 = -7(-2v + 6) + -3v (-35 + 5v) + -9 = -7(-2v + 6) + -3v Reorder the terms: -35 + -9 + 5v = -7(-2v + 6) + -3v Combine like terms: -35 + -9 = -44 -44 + 5v = -7(-2v + 6) + -3v Reorder the terms: -44 + 5v = -7(6 + -2v) + -3v -44 + 5v = (6 * -7 + -2v * -7) + -3v -44 + 5v = (-42 + 14v) + -3v Combine like terms: 14v + -3v = 11v -44 + 5v = -42 + 11v Solving -44 + 5v = -42 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -44 + 5v + -11v = -42 + 11v + -11v Combine like terms: 5v + -11v = -6v -44 + -6v = -42 + 11v + -11v Combine like terms: 11v + -11v = 0 -44 + -6v = -42 + 0 -44 + -6v = -42 Add '44' to each side of the equation. -44 + 44 + -6v = -42 + 44 Combine like terms: -44 + 44 = 0 0 + -6v = -42 + 44 -6v = -42 + 44 Combine like terms: -42 + 44 = 2 -6v = 2 Divide each side by '-6'. v = -0.3333333333 Simplifying v = -0.3333333333
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