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Simplifying 5 + 3(2v + -3) = -2(7v + -3) + 6v Reorder the terms: 5 + 3(-3 + 2v) = -2(7v + -3) + 6v 5 + (-3 * 3 + 2v * 3) = -2(7v + -3) + 6v 5 + (-9 + 6v) = -2(7v + -3) + 6v Combine like terms: 5 + -9 = -4 -4 + 6v = -2(7v + -3) + 6v Reorder the terms: -4 + 6v = -2(-3 + 7v) + 6v -4 + 6v = (-3 * -2 + 7v * -2) + 6v -4 + 6v = (6 + -14v) + 6v Combine like terms: -14v + 6v = -8v -4 + 6v = 6 + -8v Solving -4 + 6v = 6 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -4 + 6v + 8v = 6 + -8v + 8v Combine like terms: 6v + 8v = 14v -4 + 14v = 6 + -8v + 8v Combine like terms: -8v + 8v = 0 -4 + 14v = 6 + 0 -4 + 14v = 6 Add '4' to each side of the equation. -4 + 4 + 14v = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 14v = 6 + 4 14v = 6 + 4 Combine like terms: 6 + 4 = 10 14v = 10 Divide each side by '14'. v = 0.7142857143 Simplifying v = 0.7142857143
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