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Simplifying -6 + -5v = -2(v + 8) + -2 Reorder the terms: -6 + -5v = -2(8 + v) + -2 -6 + -5v = (8 * -2 + v * -2) + -2 -6 + -5v = (-16 + -2v) + -2 Reorder the terms: -6 + -5v = -16 + -2 + -2v Combine like terms: -16 + -2 = -18 -6 + -5v = -18 + -2v Solving -6 + -5v = -18 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -6 + -5v + 2v = -18 + -2v + 2v Combine like terms: -5v + 2v = -3v -6 + -3v = -18 + -2v + 2v Combine like terms: -2v + 2v = 0 -6 + -3v = -18 + 0 -6 + -3v = -18 Add '6' to each side of the equation. -6 + 6 + -3v = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -3v = -18 + 6 -3v = -18 + 6 Combine like terms: -18 + 6 = -12 -3v = -12 Divide each side by '-3'. v = 4 Simplifying v = 4
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