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Simplifying -7(v + 2) + 2v + 5 = 6v + 7 Reorder the terms: -7(2 + v) + 2v + 5 = 6v + 7 (2 * -7 + v * -7) + 2v + 5 = 6v + 7 (-14 + -7v) + 2v + 5 = 6v + 7 Reorder the terms: -14 + 5 + -7v + 2v = 6v + 7 Combine like terms: -14 + 5 = -9 -9 + -7v + 2v = 6v + 7 Combine like terms: -7v + 2v = -5v -9 + -5v = 6v + 7 Reorder the terms: -9 + -5v = 7 + 6v Solving -9 + -5v = 7 + 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. -9 + -5v + -6v = 7 + 6v + -6v Combine like terms: -5v + -6v = -11v -9 + -11v = 7 + 6v + -6v Combine like terms: 6v + -6v = 0 -9 + -11v = 7 + 0 -9 + -11v = 7 Add '9' to each side of the equation. -9 + 9 + -11v = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -11v = 7 + 9 -11v = 7 + 9 Combine like terms: 7 + 9 = 16 -11v = 16 Divide each side by '-11'. v = -1.454545455 Simplifying v = -1.454545455
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