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