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Simplifying -6v + -18 = -2(-3 + -3v) Reorder the terms: -18 + -6v = -2(-3 + -3v) -18 + -6v = (-3 * -2 + -3v * -2) -18 + -6v = (6 + 6v) Solving -18 + -6v = 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. -18 + -6v + -6v = 6 + 6v + -6v Combine like terms: -6v + -6v = -12v -18 + -12v = 6 + 6v + -6v Combine like terms: 6v + -6v = 0 -18 + -12v = 6 + 0 -18 + -12v = 6 Add '18' to each side of the equation. -18 + 18 + -12v = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -12v = 6 + 18 -12v = 6 + 18 Combine like terms: 6 + 18 = 24 -12v = 24 Divide each side by '-12'. v = -2 Simplifying v = -2
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