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Simplifying 4(-3v + -15) = -3(-2 + 2v) Reorder the terms: 4(-15 + -3v) = -3(-2 + 2v) (-15 * 4 + -3v * 4) = -3(-2 + 2v) (-60 + -12v) = -3(-2 + 2v) -60 + -12v = (-2 * -3 + 2v * -3) -60 + -12v = (6 + -6v) Solving -60 + -12v = 6 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -60 + -12v + 6v = 6 + -6v + 6v Combine like terms: -12v + 6v = -6v -60 + -6v = 6 + -6v + 6v Combine like terms: -6v + 6v = 0 -60 + -6v = 6 + 0 -60 + -6v = 6 Add '60' to each side of the equation. -60 + 60 + -6v = 6 + 60 Combine like terms: -60 + 60 = 0 0 + -6v = 6 + 60 -6v = 6 + 60 Combine like terms: 6 + 60 = 66 -6v = 66 Divide each side by '-6'. v = -11 Simplifying v = -11
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