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Simplifying 3v + -22 = -2(v + -4) Reorder the terms: -22 + 3v = -2(v + -4) Reorder the terms: -22 + 3v = -2(-4 + v) -22 + 3v = (-4 * -2 + v * -2) -22 + 3v = (8 + -2v) Solving -22 + 3v = 8 + -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. -22 + 3v + 2v = 8 + -2v + 2v Combine like terms: 3v + 2v = 5v -22 + 5v = 8 + -2v + 2v Combine like terms: -2v + 2v = 0 -22 + 5v = 8 + 0 -22 + 5v = 8 Add '22' to each side of the equation. -22 + 22 + 5v = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 5v = 8 + 22 5v = 8 + 22 Combine like terms: 8 + 22 = 30 5v = 30 Divide each side by '5'. v = 6 Simplifying v = 6
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