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Simplifying -7(v + 3) + 4v + 7 = 6v + 11 Reorder the terms: -7(3 + v) + 4v + 7 = 6v + 11 (3 * -7 + v * -7) + 4v + 7 = 6v + 11 (-21 + -7v) + 4v + 7 = 6v + 11 Reorder the terms: -21 + 7 + -7v + 4v = 6v + 11 Combine like terms: -21 + 7 = -14 -14 + -7v + 4v = 6v + 11 Combine like terms: -7v + 4v = -3v -14 + -3v = 6v + 11 Reorder the terms: -14 + -3v = 11 + 6v Solving -14 + -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. -14 + -3v + -6v = 11 + 6v + -6v Combine like terms: -3v + -6v = -9v -14 + -9v = 11 + 6v + -6v Combine like terms: 6v + -6v = 0 -14 + -9v = 11 + 0 -14 + -9v = 11 Add '14' to each side of the equation. -14 + 14 + -9v = 11 + 14 Combine like terms: -14 + 14 = 0 0 + -9v = 11 + 14 -9v = 11 + 14 Combine like terms: 11 + 14 = 25 -9v = 25 Divide each side by '-9'. v = -2.777777778 Simplifying v = -2.777777778
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