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Simplifying -7(-4 + v) + 2(-2v + -7) = 2v + -6v (-4 * -7 + v * -7) + 2(-2v + -7) = 2v + -6v (28 + -7v) + 2(-2v + -7) = 2v + -6v Reorder the terms: 28 + -7v + 2(-7 + -2v) = 2v + -6v 28 + -7v + (-7 * 2 + -2v * 2) = 2v + -6v 28 + -7v + (-14 + -4v) = 2v + -6v Reorder the terms: 28 + -14 + -7v + -4v = 2v + -6v Combine like terms: 28 + -14 = 14 14 + -7v + -4v = 2v + -6v Combine like terms: -7v + -4v = -11v 14 + -11v = 2v + -6v Combine like terms: 2v + -6v = -4v 14 + -11v = -4v Solving 14 + -11v = -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. 14 + -11v + 4v = -4v + 4v Combine like terms: -11v + 4v = -7v 14 + -7v = -4v + 4v Combine like terms: -4v + 4v = 0 14 + -7v = 0 Add '-14' to each side of the equation. 14 + -14 + -7v = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7v = 0 + -14 -7v = 0 + -14 Combine like terms: 0 + -14 = -14 -7v = -14 Divide each side by '-7'. v = 2 Simplifying v = 2
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