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Simplifying 2(5v + 1) = -22 + 4v Reorder the terms: 2(1 + 5v) = -22 + 4v (1 * 2 + 5v * 2) = -22 + 4v (2 + 10v) = -22 + 4v Solving 2 + 10v = -22 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 2 + 10v + -4v = -22 + 4v + -4v Combine like terms: 10v + -4v = 6v 2 + 6v = -22 + 4v + -4v Combine like terms: 4v + -4v = 0 2 + 6v = -22 + 0 2 + 6v = -22 Add '-2' to each side of the equation. 2 + -2 + 6v = -22 + -2 Combine like terms: 2 + -2 = 0 0 + 6v = -22 + -2 6v = -22 + -2 Combine like terms: -22 + -2 = -24 6v = -24 Divide each side by '6'. v = -4 Simplifying v = -4
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