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Simplifying 14 = 2(5v + 6) + -15v Reorder the terms: 14 = 2(6 + 5v) + -15v 14 = (6 * 2 + 5v * 2) + -15v 14 = (12 + 10v) + -15v Combine like terms: 10v + -15v = -5v 14 = 12 + -5v Solving 14 = 12 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 14 + 5v = 12 + -5v + 5v Combine like terms: -5v + 5v = 0 14 + 5v = 12 + 0 14 + 5v = 12 Add '-14' to each side of the equation. 14 + -14 + 5v = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 5v = 12 + -14 5v = 12 + -14 Combine like terms: 12 + -14 = -2 5v = -2 Divide each side by '5'. v = -0.4 Simplifying v = -0.4
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