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Simplifying 6(v + -8) + -4 = -4(-5v + 9) + -8v Reorder the terms: 6(-8 + v) + -4 = -4(-5v + 9) + -8v (-8 * 6 + v * 6) + -4 = -4(-5v + 9) + -8v (-48 + 6v) + -4 = -4(-5v + 9) + -8v Reorder the terms: -48 + -4 + 6v = -4(-5v + 9) + -8v Combine like terms: -48 + -4 = -52 -52 + 6v = -4(-5v + 9) + -8v Reorder the terms: -52 + 6v = -4(9 + -5v) + -8v -52 + 6v = (9 * -4 + -5v * -4) + -8v -52 + 6v = (-36 + 20v) + -8v Combine like terms: 20v + -8v = 12v -52 + 6v = -36 + 12v Solving -52 + 6v = -36 + 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. -52 + 6v + -12v = -36 + 12v + -12v Combine like terms: 6v + -12v = -6v -52 + -6v = -36 + 12v + -12v Combine like terms: 12v + -12v = 0 -52 + -6v = -36 + 0 -52 + -6v = -36 Add '52' to each side of the equation. -52 + 52 + -6v = -36 + 52 Combine like terms: -52 + 52 = 0 0 + -6v = -36 + 52 -6v = -36 + 52 Combine like terms: -36 + 52 = 16 -6v = 16 Divide each side by '-6'. v = -2.666666667 Simplifying v = -2.666666667
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