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Simplifying 5v + 1 = 7v + -9 Reorder the terms: 1 + 5v = 7v + -9 Reorder the terms: 1 + 5v = -9 + 7v Solving 1 + 5v = -9 + 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. 1 + 5v + -7v = -9 + 7v + -7v Combine like terms: 5v + -7v = -2v 1 + -2v = -9 + 7v + -7v Combine like terms: 7v + -7v = 0 1 + -2v = -9 + 0 1 + -2v = -9 Add '-1' to each side of the equation. 1 + -1 + -2v = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -2v = -9 + -1 -2v = -9 + -1 Combine like terms: -9 + -1 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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