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Simplifying 4v + -6(v + -1) = 22 + -6v Reorder the terms: 4v + -6(-1 + v) = 22 + -6v 4v + (-1 * -6 + v * -6) = 22 + -6v 4v + (6 + -6v) = 22 + -6v Reorder the terms: 6 + 4v + -6v = 22 + -6v Combine like terms: 4v + -6v = -2v 6 + -2v = 22 + -6v Solving 6 + -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. 6 + -2v + 6v = 22 + -6v + 6v Combine like terms: -2v + 6v = 4v 6 + 4v = 22 + -6v + 6v Combine like terms: -6v + 6v = 0 6 + 4v = 22 + 0 6 + 4v = 22 Add '-6' to each side of the equation. 6 + -6 + 4v = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 4v = 22 + -6 4v = 22 + -6 Combine like terms: 22 + -6 = 16 4v = 16 Divide each side by '4'. v = 4 Simplifying v = 4
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