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Simplifying -7(v + 4) + 4v + 6 = 6v + 6 Reorder the terms: -7(4 + v) + 4v + 6 = 6v + 6 (4 * -7 + v * -7) + 4v + 6 = 6v + 6 (-28 + -7v) + 4v + 6 = 6v + 6 Reorder the terms: -28 + 6 + -7v + 4v = 6v + 6 Combine like terms: -28 + 6 = -22 -22 + -7v + 4v = 6v + 6 Combine like terms: -7v + 4v = -3v -22 + -3v = 6v + 6 Reorder the terms: -22 + -3v = 6 + 6v Solving -22 + -3v = 6 + 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. -22 + -3v + -6v = 6 + 6v + -6v Combine like terms: -3v + -6v = -9v -22 + -9v = 6 + 6v + -6v Combine like terms: 6v + -6v = 0 -22 + -9v = 6 + 0 -22 + -9v = 6 Add '22' to each side of the equation. -22 + 22 + -9v = 6 + 22 Combine like terms: -22 + 22 = 0 0 + -9v = 6 + 22 -9v = 6 + 22 Combine like terms: 6 + 22 = 28 -9v = 28 Divide each side by '-9'. v = -3.111111111 Simplifying v = -3.111111111
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