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Simplifying -2(2v + -7) + -6v = 30 + -6v Reorder the terms: -2(-7 + 2v) + -6v = 30 + -6v (-7 * -2 + 2v * -2) + -6v = 30 + -6v (14 + -4v) + -6v = 30 + -6v Combine like terms: -4v + -6v = -10v 14 + -10v = 30 + -6v Solving 14 + -10v = 30 + -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 + -10v + 6v = 30 + -6v + 6v Combine like terms: -10v + 6v = -4v 14 + -4v = 30 + -6v + 6v Combine like terms: -6v + 6v = 0 14 + -4v = 30 + 0 14 + -4v = 30 Add '-14' to each side of the equation. 14 + -14 + -4v = 30 + -14 Combine like terms: 14 + -14 = 0 0 + -4v = 30 + -14 -4v = 30 + -14 Combine like terms: 30 + -14 = 16 -4v = 16 Divide each side by '-4'. v = -4 Simplifying v = -4
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