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Simplifying -9(v + 3) + 2v + 5 = 7v + 6 Reorder the terms: -9(3 + v) + 2v + 5 = 7v + 6 (3 * -9 + v * -9) + 2v + 5 = 7v + 6 (-27 + -9v) + 2v + 5 = 7v + 6 Reorder the terms: -27 + 5 + -9v + 2v = 7v + 6 Combine like terms: -27 + 5 = -22 -22 + -9v + 2v = 7v + 6 Combine like terms: -9v + 2v = -7v -22 + -7v = 7v + 6 Reorder the terms: -22 + -7v = 6 + 7v Solving -22 + -7v = 6 + 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. -22 + -7v + -7v = 6 + 7v + -7v Combine like terms: -7v + -7v = -14v -22 + -14v = 6 + 7v + -7v Combine like terms: 7v + -7v = 0 -22 + -14v = 6 + 0 -22 + -14v = 6 Add '22' to each side of the equation. -22 + 22 + -14v = 6 + 22 Combine like terms: -22 + 22 = 0 0 + -14v = 6 + 22 -14v = 6 + 22 Combine like terms: 6 + 22 = 28 -14v = 28 Divide each side by '-14'. v = -2 Simplifying v = -2
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