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