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Simplifying -7(v + 2) + 4v + 7 = 6v + 7 Reorder the terms: -7(2 + v) + 4v + 7 = 6v + 7 (2 * -7 + v * -7) + 4v + 7 = 6v + 7 (-14 + -7v) + 4v + 7 = 6v + 7 Reorder the terms: -14 + 7 + -7v + 4v = 6v + 7 Combine like terms: -14 + 7 = -7 -7 + -7v + 4v = 6v + 7 Combine like terms: -7v + 4v = -3v -7 + -3v = 6v + 7 Reorder the terms: -7 + -3v = 7 + 6v Solving -7 + -3v = 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. -7 + -3v + -6v = 7 + 6v + -6v Combine like terms: -3v + -6v = -9v -7 + -9v = 7 + 6v + -6v Combine like terms: 6v + -6v = 0 -7 + -9v = 7 + 0 -7 + -9v = 7 Add '7' to each side of the equation. -7 + 7 + -9v = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -9v = 7 + 7 -9v = 7 + 7 Combine like terms: 7 + 7 = 14 -9v = 14 Divide each side by '-9'. v = -1.555555556 Simplifying v = -1.555555556
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