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Simplifying -4(6 + -5v) + -5v = -6 + -3(1 + -4v) (6 * -4 + -5v * -4) + -5v = -6 + -3(1 + -4v) (-24 + 20v) + -5v = -6 + -3(1 + -4v) Combine like terms: 20v + -5v = 15v -24 + 15v = -6 + -3(1 + -4v) -24 + 15v = -6 + (1 * -3 + -4v * -3) -24 + 15v = -6 + (-3 + 12v) Combine like terms: -6 + -3 = -9 -24 + 15v = -9 + 12v Solving -24 + 15v = -9 + 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. -24 + 15v + -12v = -9 + 12v + -12v Combine like terms: 15v + -12v = 3v -24 + 3v = -9 + 12v + -12v Combine like terms: 12v + -12v = 0 -24 + 3v = -9 + 0 -24 + 3v = -9 Add '24' to each side of the equation. -24 + 24 + 3v = -9 + 24 Combine like terms: -24 + 24 = 0 0 + 3v = -9 + 24 3v = -9 + 24 Combine like terms: -9 + 24 = 15 3v = 15 Divide each side by '3'. v = 5 Simplifying v = 5
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