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Simplifying -4v + 2(-2v + -7) = -28 + 6v Reorder the terms: -4v + 2(-7 + -2v) = -28 + 6v -4v + (-7 * 2 + -2v * 2) = -28 + 6v -4v + (-14 + -4v) = -28 + 6v Reorder the terms: -14 + -4v + -4v = -28 + 6v Combine like terms: -4v + -4v = -8v -14 + -8v = -28 + 6v Solving -14 + -8v = -28 + 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. -14 + -8v + -6v = -28 + 6v + -6v Combine like terms: -8v + -6v = -14v -14 + -14v = -28 + 6v + -6v Combine like terms: 6v + -6v = 0 -14 + -14v = -28 + 0 -14 + -14v = -28 Add '14' to each side of the equation. -14 + 14 + -14v = -28 + 14 Combine like terms: -14 + 14 = 0 0 + -14v = -28 + 14 -14v = -28 + 14 Combine like terms: -28 + 14 = -14 -14v = -14 Divide each side by '-14'. v = 1 Simplifying v = 1
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