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Simplifying 9 + -7v = 3v + -1 Reorder the terms: 9 + -7v = -1 + 3v Solving 9 + -7v = -1 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 9 + -7v + -3v = -1 + 3v + -3v Combine like terms: -7v + -3v = -10v 9 + -10v = -1 + 3v + -3v Combine like terms: 3v + -3v = 0 9 + -10v = -1 + 0 9 + -10v = -1 Add '-9' to each side of the equation. 9 + -9 + -10v = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -10v = -1 + -9 -10v = -1 + -9 Combine like terms: -1 + -9 = -10 -10v = -10 Divide each side by '-10'. v = 1 Simplifying v = 1
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