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Simplifying 27 = -8v + 5(v + 3) Reorder the terms: 27 = -8v + 5(3 + v) 27 = -8v + (3 * 5 + v * 5) 27 = -8v + (15 + 5v) Reorder the terms: 27 = 15 + -8v + 5v Combine like terms: -8v + 5v = -3v 27 = 15 + -3v Solving 27 = 15 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 27 + 3v = 15 + -3v + 3v Combine like terms: -3v + 3v = 0 27 + 3v = 15 + 0 27 + 3v = 15 Add '-27' to each side of the equation. 27 + -27 + 3v = 15 + -27 Combine like terms: 27 + -27 = 0 0 + 3v = 15 + -27 3v = 15 + -27 Combine like terms: 15 + -27 = -12 3v = -12 Divide each side by '3'. v = -4 Simplifying v = -4
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