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Simplifying 6 + 2(5v + -3) = -6(2v + -3) + 6v Reorder the terms: 6 + 2(-3 + 5v) = -6(2v + -3) + 6v 6 + (-3 * 2 + 5v * 2) = -6(2v + -3) + 6v 6 + (-6 + 10v) = -6(2v + -3) + 6v Combine like terms: 6 + -6 = 0 0 + 10v = -6(2v + -3) + 6v 10v = -6(2v + -3) + 6v Reorder the terms: 10v = -6(-3 + 2v) + 6v 10v = (-3 * -6 + 2v * -6) + 6v 10v = (18 + -12v) + 6v Combine like terms: -12v + 6v = -6v 10v = 18 + -6v Solving 10v = 18 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 10v + 6v = 18 + -6v + 6v Combine like terms: 10v + 6v = 16v 16v = 18 + -6v + 6v Combine like terms: -6v + 6v = 0 16v = 18 + 0 16v = 18 Divide each side by '16'. v = 1.125 Simplifying v = 1.125
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