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Simplifying -4(3v + -3) = -6(v + -7) Reorder the terms: -4(-3 + 3v) = -6(v + -7) (-3 * -4 + 3v * -4) = -6(v + -7) (12 + -12v) = -6(v + -7) Reorder the terms: 12 + -12v = -6(-7 + v) 12 + -12v = (-7 * -6 + v * -6) 12 + -12v = (42 + -6v) Solving 12 + -12v = 42 + -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. 12 + -12v + 6v = 42 + -6v + 6v Combine like terms: -12v + 6v = -6v 12 + -6v = 42 + -6v + 6v Combine like terms: -6v + 6v = 0 12 + -6v = 42 + 0 12 + -6v = 42 Add '-12' to each side of the equation. 12 + -12 + -6v = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -6v = 42 + -12 -6v = 42 + -12 Combine like terms: 42 + -12 = 30 -6v = 30 Divide each side by '-6'. v = -5 Simplifying v = -5
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