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Simplifying 5(2v + -4) + -2(3v + 2) = -1 Reorder the terms: 5(-4 + 2v) + -2(3v + 2) = -1 (-4 * 5 + 2v * 5) + -2(3v + 2) = -1 (-20 + 10v) + -2(3v + 2) = -1 Reorder the terms: -20 + 10v + -2(2 + 3v) = -1 -20 + 10v + (2 * -2 + 3v * -2) = -1 -20 + 10v + (-4 + -6v) = -1 Reorder the terms: -20 + -4 + 10v + -6v = -1 Combine like terms: -20 + -4 = -24 -24 + 10v + -6v = -1 Combine like terms: 10v + -6v = 4v -24 + 4v = -1 Solving -24 + 4v = -1 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 4v = -1 + 24 Combine like terms: -24 + 24 = 0 0 + 4v = -1 + 24 4v = -1 + 24 Combine like terms: -1 + 24 = 23 4v = 23 Divide each side by '4'. v = 5.75 Simplifying v = 5.75
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