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Simplifying -7(v + 4) + 4v + 7 = 6v + 11 Reorder the terms: -7(4 + v) + 4v + 7 = 6v + 11 (4 * -7 + v * -7) + 4v + 7 = 6v + 11 (-28 + -7v) + 4v + 7 = 6v + 11 Reorder the terms: -28 + 7 + -7v + 4v = 6v + 11 Combine like terms: -28 + 7 = -21 -21 + -7v + 4v = 6v + 11 Combine like terms: -7v + 4v = -3v -21 + -3v = 6v + 11 Reorder the terms: -21 + -3v = 11 + 6v Solving -21 + -3v = 11 + 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. -21 + -3v + -6v = 11 + 6v + -6v Combine like terms: -3v + -6v = -9v -21 + -9v = 11 + 6v + -6v Combine like terms: 6v + -6v = 0 -21 + -9v = 11 + 0 -21 + -9v = 11 Add '21' to each side of the equation. -21 + 21 + -9v = 11 + 21 Combine like terms: -21 + 21 = 0 0 + -9v = 11 + 21 -9v = 11 + 21 Combine like terms: 11 + 21 = 32 -9v = 32 Divide each side by '-9'. v = -3.555555556 Simplifying v = -3.555555556
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