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Simplifying -9v + 14 = -16 + -7v Reorder the terms: 14 + -9v = -16 + -7v Solving 14 + -9v = -16 + -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. 14 + -9v + 7v = -16 + -7v + 7v Combine like terms: -9v + 7v = -2v 14 + -2v = -16 + -7v + 7v Combine like terms: -7v + 7v = 0 14 + -2v = -16 + 0 14 + -2v = -16 Add '-14' to each side of the equation. 14 + -14 + -2v = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -2v = -16 + -14 -2v = -16 + -14 Combine like terms: -16 + -14 = -30 -2v = -30 Divide each side by '-2'. v = 15 Simplifying v = 15
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