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Simplifying -3(-1v + 2) + -3(-4v + 6) = 66 Reorder the terms: -3(2 + -1v) + -3(-4v + 6) = 66 (2 * -3 + -1v * -3) + -3(-4v + 6) = 66 (-6 + 3v) + -3(-4v + 6) = 66 Reorder the terms: -6 + 3v + -3(6 + -4v) = 66 -6 + 3v + (6 * -3 + -4v * -3) = 66 -6 + 3v + (-18 + 12v) = 66 Reorder the terms: -6 + -18 + 3v + 12v = 66 Combine like terms: -6 + -18 = -24 -24 + 3v + 12v = 66 Combine like terms: 3v + 12v = 15v -24 + 15v = 66 Solving -24 + 15v = 66 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 15v = 66 + 24 Combine like terms: -24 + 24 = 0 0 + 15v = 66 + 24 15v = 66 + 24 Combine like terms: 66 + 24 = 90 15v = 90 Divide each side by '15'. v = 6 Simplifying v = 6
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