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Simplifying -3v + -14 = -2(3v + 3) Reorder the terms: -14 + -3v = -2(3v + 3) Reorder the terms: -14 + -3v = -2(3 + 3v) -14 + -3v = (3 * -2 + 3v * -2) -14 + -3v = (-6 + -6v) Solving -14 + -3v = -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. -14 + -3v + 6v = -6 + -6v + 6v Combine like terms: -3v + 6v = 3v -14 + 3v = -6 + -6v + 6v Combine like terms: -6v + 6v = 0 -14 + 3v = -6 + 0 -14 + 3v = -6 Add '14' to each side of the equation. -14 + 14 + 3v = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 3v = -6 + 14 3v = -6 + 14 Combine like terms: -6 + 14 = 8 3v = 8 Divide each side by '3'. v = 2.666666667 Simplifying v = 2.666666667
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