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Simplifying 6(2 + v) + -4(2v + 1) = 0 (2 * 6 + v * 6) + -4(2v + 1) = 0 (12 + 6v) + -4(2v + 1) = 0 Reorder the terms: 12 + 6v + -4(1 + 2v) = 0 12 + 6v + (1 * -4 + 2v * -4) = 0 12 + 6v + (-4 + -8v) = 0 Reorder the terms: 12 + -4 + 6v + -8v = 0 Combine like terms: 12 + -4 = 8 8 + 6v + -8v = 0 Combine like terms: 6v + -8v = -2v 8 + -2v = 0 Solving 8 + -2v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2v = 0 + -8 -2v = 0 + -8 Combine like terms: 0 + -8 = -8 -2v = -8 Divide each side by '-2'. v = 4 Simplifying v = 4
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