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