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Simplifying 9 + 6v = 6v + -6 + 7v Reorder the terms: 9 + 6v = -6 + 6v + 7v Combine like terms: 6v + 7v = 13v 9 + 6v = -6 + 13v Solving 9 + 6v = -6 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. 9 + 6v + -13v = -6 + 13v + -13v Combine like terms: 6v + -13v = -7v 9 + -7v = -6 + 13v + -13v Combine like terms: 13v + -13v = 0 9 + -7v = -6 + 0 9 + -7v = -6 Add '-9' to each side of the equation. 9 + -9 + -7v = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -7v = -6 + -9 -7v = -6 + -9 Combine like terms: -6 + -9 = -15 -7v = -15 Divide each side by '-7'. v = 2.142857143 Simplifying v = 2.142857143
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