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Simplifying 6v + -22 = -2(v + -5) Reorder the terms: -22 + 6v = -2(v + -5) Reorder the terms: -22 + 6v = -2(-5 + v) -22 + 6v = (-5 * -2 + v * -2) -22 + 6v = (10 + -2v) Solving -22 + 6v = 10 + -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 + 6v + 2v = 10 + -2v + 2v Combine like terms: 6v + 2v = 8v -22 + 8v = 10 + -2v + 2v Combine like terms: -2v + 2v = 0 -22 + 8v = 10 + 0 -22 + 8v = 10 Add '22' to each side of the equation. -22 + 22 + 8v = 10 + 22 Combine like terms: -22 + 22 = 0 0 + 8v = 10 + 22 8v = 10 + 22 Combine like terms: 10 + 22 = 32 8v = 32 Divide each side by '8'. v = 4 Simplifying v = 4
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