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Simplifying -6(v + 4) + 2v + 7 = 7v + 7 Reorder the terms: -6(4 + v) + 2v + 7 = 7v + 7 (4 * -6 + v * -6) + 2v + 7 = 7v + 7 (-24 + -6v) + 2v + 7 = 7v + 7 Reorder the terms: -24 + 7 + -6v + 2v = 7v + 7 Combine like terms: -24 + 7 = -17 -17 + -6v + 2v = 7v + 7 Combine like terms: -6v + 2v = -4v -17 + -4v = 7v + 7 Reorder the terms: -17 + -4v = 7 + 7v Solving -17 + -4v = 7 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -17 + -4v + -7v = 7 + 7v + -7v Combine like terms: -4v + -7v = -11v -17 + -11v = 7 + 7v + -7v Combine like terms: 7v + -7v = 0 -17 + -11v = 7 + 0 -17 + -11v = 7 Add '17' to each side of the equation. -17 + 17 + -11v = 7 + 17 Combine like terms: -17 + 17 = 0 0 + -11v = 7 + 17 -11v = 7 + 17 Combine like terms: 7 + 17 = 24 -11v = 24 Divide each side by '-11'. v = -2.181818182 Simplifying v = -2.181818182
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