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Simplifying 6(v + -6) + -2 = -7(-3v + 5) + -9v Reorder the terms: 6(-6 + v) + -2 = -7(-3v + 5) + -9v (-6 * 6 + v * 6) + -2 = -7(-3v + 5) + -9v (-36 + 6v) + -2 = -7(-3v + 5) + -9v Reorder the terms: -36 + -2 + 6v = -7(-3v + 5) + -9v Combine like terms: -36 + -2 = -38 -38 + 6v = -7(-3v + 5) + -9v Reorder the terms: -38 + 6v = -7(5 + -3v) + -9v -38 + 6v = (5 * -7 + -3v * -7) + -9v -38 + 6v = (-35 + 21v) + -9v Combine like terms: 21v + -9v = 12v -38 + 6v = -35 + 12v Solving -38 + 6v = -35 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -38 + 6v + -12v = -35 + 12v + -12v Combine like terms: 6v + -12v = -6v -38 + -6v = -35 + 12v + -12v Combine like terms: 12v + -12v = 0 -38 + -6v = -35 + 0 -38 + -6v = -35 Add '38' to each side of the equation. -38 + 38 + -6v = -35 + 38 Combine like terms: -38 + 38 = 0 0 + -6v = -35 + 38 -6v = -35 + 38 Combine like terms: -35 + 38 = 3 -6v = 3 Divide each side by '-6'. v = -0.5 Simplifying v = -0.5
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