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Simplifying 2 + -3(2v + -1) + 2(2v + 4) = 0 Reorder the terms: 2 + -3(-1 + 2v) + 2(2v + 4) = 0 2 + (-1 * -3 + 2v * -3) + 2(2v + 4) = 0 2 + (3 + -6v) + 2(2v + 4) = 0 Reorder the terms: 2 + 3 + -6v + 2(4 + 2v) = 0 2 + 3 + -6v + (4 * 2 + 2v * 2) = 0 2 + 3 + -6v + (8 + 4v) = 0 Reorder the terms: 2 + 3 + 8 + -6v + 4v = 0 Combine like terms: 2 + 3 = 5 5 + 8 + -6v + 4v = 0 Combine like terms: 5 + 8 = 13 13 + -6v + 4v = 0 Combine like terms: -6v + 4v = -2v 13 + -2v = 0 Solving 13 + -2v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2v = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2v = 0 + -13 -2v = 0 + -13 Combine like terms: 0 + -13 = -13 -2v = -13 Divide each side by '-2'. v = 6.5 Simplifying v = 6.5
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