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Simplifying -6(v + 3) + 4v + 7 = 7v + 9 Reorder the terms: -6(3 + v) + 4v + 7 = 7v + 9 (3 * -6 + v * -6) + 4v + 7 = 7v + 9 (-18 + -6v) + 4v + 7 = 7v + 9 Reorder the terms: -18 + 7 + -6v + 4v = 7v + 9 Combine like terms: -18 + 7 = -11 -11 + -6v + 4v = 7v + 9 Combine like terms: -6v + 4v = -2v -11 + -2v = 7v + 9 Reorder the terms: -11 + -2v = 9 + 7v Solving -11 + -2v = 9 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -11 + -2v + -7v = 9 + 7v + -7v Combine like terms: -2v + -7v = -9v -11 + -9v = 9 + 7v + -7v Combine like terms: 7v + -7v = 0 -11 + -9v = 9 + 0 -11 + -9v = 9 Add '11' to each side of the equation. -11 + 11 + -9v = 9 + 11 Combine like terms: -11 + 11 = 0 0 + -9v = 9 + 11 -9v = 9 + 11 Combine like terms: 9 + 11 = 20 -9v = 20 Divide each side by '-9'. v = -2.222222222 Simplifying v = -2.222222222
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