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Simplifying 6(v + 6) = -4(3v + -6) + 2v Reorder the terms: 6(6 + v) = -4(3v + -6) + 2v (6 * 6 + v * 6) = -4(3v + -6) + 2v (36 + 6v) = -4(3v + -6) + 2v Reorder the terms: 36 + 6v = -4(-6 + 3v) + 2v 36 + 6v = (-6 * -4 + 3v * -4) + 2v 36 + 6v = (24 + -12v) + 2v Combine like terms: -12v + 2v = -10v 36 + 6v = 24 + -10v Solving 36 + 6v = 24 + -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. 36 + 6v + 10v = 24 + -10v + 10v Combine like terms: 6v + 10v = 16v 36 + 16v = 24 + -10v + 10v Combine like terms: -10v + 10v = 0 36 + 16v = 24 + 0 36 + 16v = 24 Add '-36' to each side of the equation. 36 + -36 + 16v = 24 + -36 Combine like terms: 36 + -36 = 0 0 + 16v = 24 + -36 16v = 24 + -36 Combine like terms: 24 + -36 = -12 16v = -12 Divide each side by '16'. v = -0.75 Simplifying v = -0.75
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