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Simplifying -4v + -14 = 2(3v + 3) Reorder the terms: -14 + -4v = 2(3v + 3) Reorder the terms: -14 + -4v = 2(3 + 3v) -14 + -4v = (3 * 2 + 3v * 2) -14 + -4v = (6 + 6v) Solving -14 + -4v = 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 + -4v + -6v = 6 + 6v + -6v Combine like terms: -4v + -6v = -10v -14 + -10v = 6 + 6v + -6v Combine like terms: 6v + -6v = 0 -14 + -10v = 6 + 0 -14 + -10v = 6 Add '14' to each side of the equation. -14 + 14 + -10v = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -10v = 6 + 14 -10v = 6 + 14 Combine like terms: 6 + 14 = 20 -10v = 20 Divide each side by '-10'. v = -2 Simplifying v = -2
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