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Simplifying 5 + 4(2v + -2) = -6(3v + -1) + 8v Reorder the terms: 5 + 4(-2 + 2v) = -6(3v + -1) + 8v 5 + (-2 * 4 + 2v * 4) = -6(3v + -1) + 8v 5 + (-8 + 8v) = -6(3v + -1) + 8v Combine like terms: 5 + -8 = -3 -3 + 8v = -6(3v + -1) + 8v Reorder the terms: -3 + 8v = -6(-1 + 3v) + 8v -3 + 8v = (-1 * -6 + 3v * -6) + 8v -3 + 8v = (6 + -18v) + 8v Combine like terms: -18v + 8v = -10v -3 + 8v = 6 + -10v Solving -3 + 8v = 6 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. -3 + 8v + 10v = 6 + -10v + 10v Combine like terms: 8v + 10v = 18v -3 + 18v = 6 + -10v + 10v Combine like terms: -10v + 10v = 0 -3 + 18v = 6 + 0 -3 + 18v = 6 Add '3' to each side of the equation. -3 + 3 + 18v = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 18v = 6 + 3 18v = 6 + 3 Combine like terms: 6 + 3 = 9 18v = 9 Divide each side by '18'. v = 0.5 Simplifying v = 0.5
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