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Simplifying -6 = 6(3 + -3v) + 3(-7v + -8) -6 = (3 * 6 + -3v * 6) + 3(-7v + -8) -6 = (18 + -18v) + 3(-7v + -8) Reorder the terms: -6 = 18 + -18v + 3(-8 + -7v) -6 = 18 + -18v + (-8 * 3 + -7v * 3) -6 = 18 + -18v + (-24 + -21v) Reorder the terms: -6 = 18 + -24 + -18v + -21v Combine like terms: 18 + -24 = -6 -6 = -6 + -18v + -21v Combine like terms: -18v + -21v = -39v -6 = -6 + -39v Add '6' to each side of the equation. -6 + 6 = -6 + 6 + -39v Combine like terms: -6 + 6 = 0 0 = -6 + 6 + -39v Combine like terms: -6 + 6 = 0 0 = 0 + -39v 0 = -39v Solving 0 = -39v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '39v' to each side of the equation. 0 + 39v = -39v + 39v Remove the zero: 39v = -39v + 39v Combine like terms: -39v + 39v = 0 39v = 0 Divide each side by '39'. v = 0 Simplifying v = 0
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