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Simplifying 4(v + 6) = -4(4v + -5) + 6v Reorder the terms: 4(6 + v) = -4(4v + -5) + 6v (6 * 4 + v * 4) = -4(4v + -5) + 6v (24 + 4v) = -4(4v + -5) + 6v Reorder the terms: 24 + 4v = -4(-5 + 4v) + 6v 24 + 4v = (-5 * -4 + 4v * -4) + 6v 24 + 4v = (20 + -16v) + 6v Combine like terms: -16v + 6v = -10v 24 + 4v = 20 + -10v Solving 24 + 4v = 20 + -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. 24 + 4v + 10v = 20 + -10v + 10v Combine like terms: 4v + 10v = 14v 24 + 14v = 20 + -10v + 10v Combine like terms: -10v + 10v = 0 24 + 14v = 20 + 0 24 + 14v = 20 Add '-24' to each side of the equation. 24 + -24 + 14v = 20 + -24 Combine like terms: 24 + -24 = 0 0 + 14v = 20 + -24 14v = 20 + -24 Combine like terms: 20 + -24 = -4 14v = -4 Divide each side by '14'. v = -0.2857142857 Simplifying v = -0.2857142857
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