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Simplifying 27 = 3(v + -6) + -8v Reorder the terms: 27 = 3(-6 + v) + -8v 27 = (-6 * 3 + v * 3) + -8v 27 = (-18 + 3v) + -8v Combine like terms: 3v + -8v = -5v 27 = -18 + -5v Solving 27 = -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. 27 + 5v = -18 + -5v + 5v Combine like terms: -5v + 5v = 0 27 + 5v = -18 + 0 27 + 5v = -18 Add '-27' to each side of the equation. 27 + -27 + 5v = -18 + -27 Combine like terms: 27 + -27 = 0 0 + 5v = -18 + -27 5v = -18 + -27 Combine like terms: -18 + -27 = -45 5v = -45 Divide each side by '5'. v = -9 Simplifying v = -9
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