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Simplifying 14v + 6 = (5 + 7v) + -4 Reorder the terms: 6 + 14v = (5 + 7v) + -4 Remove parenthesis around (5 + 7v) 6 + 14v = 5 + 7v + -4 Reorder the terms: 6 + 14v = 5 + -4 + 7v Combine like terms: 5 + -4 = 1 6 + 14v = 1 + 7v Solving 6 + 14v = 1 + 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. 6 + 14v + -7v = 1 + 7v + -7v Combine like terms: 14v + -7v = 7v 6 + 7v = 1 + 7v + -7v Combine like terms: 7v + -7v = 0 6 + 7v = 1 + 0 6 + 7v = 1 Add '-6' to each side of the equation. 6 + -6 + 7v = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 7v = 1 + -6 7v = 1 + -6 Combine like terms: 1 + -6 = -5 7v = -5 Divide each side by '7'. v = -0.7142857143 Simplifying v = -0.7142857143
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