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Simplifying 14 = -7v + 2(v + -3) Reorder the terms: 14 = -7v + 2(-3 + v) 14 = -7v + (-3 * 2 + v * 2) 14 = -7v + (-6 + 2v) Reorder the terms: 14 = -6 + -7v + 2v Combine like terms: -7v + 2v = -5v 14 = -6 + -5v Solving 14 = -6 + -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 = -6 + -5v + 5v Combine like terms: -5v + 5v = 0 14 + 5v = -6 + 0 14 + 5v = -6 Add '-14' to each side of the equation. 14 + -14 + 5v = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 5v = -6 + -14 5v = -6 + -14 Combine like terms: -6 + -14 = -20 5v = -20 Divide each side by '5'. v = -4 Simplifying v = -4
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