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Simplifying 6(-1v + -3) + 8v = -6 + 5v Reorder the terms: 6(-3 + -1v) + 8v = -6 + 5v (-3 * 6 + -1v * 6) + 8v = -6 + 5v (-18 + -6v) + 8v = -6 + 5v Combine like terms: -6v + 8v = 2v -18 + 2v = -6 + 5v Solving -18 + 2v = -6 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -18 + 2v + -5v = -6 + 5v + -5v Combine like terms: 2v + -5v = -3v -18 + -3v = -6 + 5v + -5v Combine like terms: 5v + -5v = 0 -18 + -3v = -6 + 0 -18 + -3v = -6 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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