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Simplifying 5v + 6 + -12v = -9 Reorder the terms: 6 + 5v + -12v = -9 Combine like terms: 5v + -12v = -7v 6 + -7v = -9 Solving 6 + -7v = -9 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7v = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -7v = -9 + -6 -7v = -9 + -6 Combine like terms: -9 + -6 = -15 -7v = -15 Divide each side by '-7'. v = 2.142857143 Simplifying v = 2.142857143
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