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Simplifying 2(3v + -5) + -2(v + 2) = 0 Reorder the terms: 2(-5 + 3v) + -2(v + 2) = 0 (-5 * 2 + 3v * 2) + -2(v + 2) = 0 (-10 + 6v) + -2(v + 2) = 0 Reorder the terms: -10 + 6v + -2(2 + v) = 0 -10 + 6v + (2 * -2 + v * -2) = 0 -10 + 6v + (-4 + -2v) = 0 Reorder the terms: -10 + -4 + 6v + -2v = 0 Combine like terms: -10 + -4 = -14 -14 + 6v + -2v = 0 Combine like terms: 6v + -2v = 4v -14 + 4v = 0 Solving -14 + 4v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 4v = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 4v = 0 + 14 4v = 0 + 14 Combine like terms: 0 + 14 = 14 4v = 14 Divide each side by '4'. v = 3.5 Simplifying v = 3.5
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