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Simplifying 1 + 2(6v + -4) = -3(2v + -1) + 6v Reorder the terms: 1 + 2(-4 + 6v) = -3(2v + -1) + 6v 1 + (-4 * 2 + 6v * 2) = -3(2v + -1) + 6v 1 + (-8 + 12v) = -3(2v + -1) + 6v Combine like terms: 1 + -8 = -7 -7 + 12v = -3(2v + -1) + 6v Reorder the terms: -7 + 12v = -3(-1 + 2v) + 6v -7 + 12v = (-1 * -3 + 2v * -3) + 6v -7 + 12v = (3 + -6v) + 6v Combine like terms: -6v + 6v = 0 -7 + 12v = 3 + 0 -7 + 12v = 3 Solving -7 + 12v = 3 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 12v = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 12v = 3 + 7 12v = 3 + 7 Combine like terms: 3 + 7 = 10 12v = 10 Divide each side by '12'. v = 0.8333333333 Simplifying v = 0.8333333333
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