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Simplifying 8v + -6 = -1v + 6(v + -3) Reorder the terms: -6 + 8v = -1v + 6(v + -3) Reorder the terms: -6 + 8v = -1v + 6(-3 + v) -6 + 8v = -1v + (-3 * 6 + v * 6) -6 + 8v = -1v + (-18 + 6v) Reorder the terms: -6 + 8v = -18 + -1v + 6v Combine like terms: -1v + 6v = 5v -6 + 8v = -18 + 5v Solving -6 + 8v = -18 + 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. -6 + 8v + -5v = -18 + 5v + -5v Combine like terms: 8v + -5v = 3v -6 + 3v = -18 + 5v + -5v Combine like terms: 5v + -5v = 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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