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Simplifying 5 + 2(5v + -4) = -2(4v + -6) + 8v Reorder the terms: 5 + 2(-4 + 5v) = -2(4v + -6) + 8v 5 + (-4 * 2 + 5v * 2) = -2(4v + -6) + 8v 5 + (-8 + 10v) = -2(4v + -6) + 8v Combine like terms: 5 + -8 = -3 -3 + 10v = -2(4v + -6) + 8v Reorder the terms: -3 + 10v = -2(-6 + 4v) + 8v -3 + 10v = (-6 * -2 + 4v * -2) + 8v -3 + 10v = (12 + -8v) + 8v Combine like terms: -8v + 8v = 0 -3 + 10v = 12 + 0 -3 + 10v = 12 Solving -3 + 10v = 12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 10v = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 10v = 12 + 3 10v = 12 + 3 Combine like terms: 12 + 3 = 15 10v = 15 Divide each side by '10'. v = 1.5 Simplifying v = 1.5
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