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Simplifying 4v + -6 = -2(v + -9) Reorder the terms: -6 + 4v = -2(v + -9) Reorder the terms: -6 + 4v = -2(-9 + v) -6 + 4v = (-9 * -2 + v * -2) -6 + 4v = (18 + -2v) Solving -6 + 4v = 18 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -6 + 4v + 2v = 18 + -2v + 2v Combine like terms: 4v + 2v = 6v -6 + 6v = 18 + -2v + 2v Combine like terms: -2v + 2v = 0 -6 + 6v = 18 + 0 -6 + 6v = 18 Add '6' to each side of the equation. -6 + 6 + 6v = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 6v = 18 + 6 6v = 18 + 6 Combine like terms: 18 + 6 = 24 6v = 24 Divide each side by '6'. v = 4 Simplifying v = 4
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