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Simplifying -4v + 2(7v + -2) = 26 + 4v Reorder the terms: -4v + 2(-2 + 7v) = 26 + 4v -4v + (-2 * 2 + 7v * 2) = 26 + 4v -4v + (-4 + 14v) = 26 + 4v Reorder the terms: -4 + -4v + 14v = 26 + 4v Combine like terms: -4v + 14v = 10v -4 + 10v = 26 + 4v Solving -4 + 10v = 26 + 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. -4 + 10v + -4v = 26 + 4v + -4v Combine like terms: 10v + -4v = 6v -4 + 6v = 26 + 4v + -4v Combine like terms: 4v + -4v = 0 -4 + 6v = 26 + 0 -4 + 6v = 26 Add '4' to each side of the equation. -4 + 4 + 6v = 26 + 4 Combine like terms: -4 + 4 = 0 0 + 6v = 26 + 4 6v = 26 + 4 Combine like terms: 26 + 4 = 30 6v = 30 Divide each side by '6'. v = 5 Simplifying v = 5
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