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Simplifying -22 + 7v = 3(2v + -3) + -5 Reorder the terms: -22 + 7v = 3(-3 + 2v) + -5 -22 + 7v = (-3 * 3 + 2v * 3) + -5 -22 + 7v = (-9 + 6v) + -5 Reorder the terms: -22 + 7v = -9 + -5 + 6v Combine like terms: -9 + -5 = -14 -22 + 7v = -14 + 6v Solving -22 + 7v = -14 + 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. -22 + 7v + -6v = -14 + 6v + -6v Combine like terms: 7v + -6v = 1v -22 + 1v = -14 + 6v + -6v Combine like terms: 6v + -6v = 0 -22 + 1v = -14 + 0 -22 + 1v = -14 Add '22' to each side of the equation. -22 + 22 + 1v = -14 + 22 Combine like terms: -22 + 22 = 0 0 + 1v = -14 + 22 1v = -14 + 22 Combine like terms: -14 + 22 = 8 1v = 8 Divide each side by '1'. v = 8 Simplifying v = 8
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