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Simplifying -3(v + 3) = 7v + -9v + 2(3v + 5) Reorder the terms: -3(3 + v) = 7v + -9v + 2(3v + 5) (3 * -3 + v * -3) = 7v + -9v + 2(3v + 5) (-9 + -3v) = 7v + -9v + 2(3v + 5) Reorder the terms: -9 + -3v = 7v + -9v + 2(5 + 3v) -9 + -3v = 7v + -9v + (5 * 2 + 3v * 2) -9 + -3v = 7v + -9v + (10 + 6v) Reorder the terms: -9 + -3v = 10 + 7v + -9v + 6v Combine like terms: 7v + -9v = -2v -9 + -3v = 10 + -2v + 6v Combine like terms: -2v + 6v = 4v -9 + -3v = 10 + 4v Solving -9 + -3v = 10 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -9 + -3v + -4v = 10 + 4v + -4v Combine like terms: -3v + -4v = -7v -9 + -7v = 10 + 4v + -4v Combine like terms: 4v + -4v = 0 -9 + -7v = 10 + 0 -9 + -7v = 10 Add '9' to each side of the equation. -9 + 9 + -7v = 10 + 9 Combine like terms: -9 + 9 = 0 0 + -7v = 10 + 9 -7v = 10 + 9 Combine like terms: 10 + 9 = 19 -7v = 19 Divide each side by '-7'. v = -2.714285714 Simplifying v = -2.714285714
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