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Simplifying 4(2v + 3) + -14v = 0 Reorder the terms: 4(3 + 2v) + -14v = 0 (3 * 4 + 2v * 4) + -14v = 0 (12 + 8v) + -14v = 0 Combine like terms: 8v + -14v = -6v 12 + -6v = 0 Solving 12 + -6v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -6v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6v = 0 + -12 -6v = 0 + -12 Combine like terms: 0 + -12 = -12 -6v = -12 Divide each side by '-6'. v = 2 Simplifying v = 2
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