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Simplifying -6v + 3(v + -4) = -27 Reorder the terms: -6v + 3(-4 + v) = -27 -6v + (-4 * 3 + v * 3) = -27 -6v + (-12 + 3v) = -27 Reorder the terms: -12 + -6v + 3v = -27 Combine like terms: -6v + 3v = -3v -12 + -3v = -27 Solving -12 + -3v = -27 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -3v = -27 + 12 Combine like terms: -12 + 12 = 0 0 + -3v = -27 + 12 -3v = -27 + 12 Combine like terms: -27 + 12 = -15 -3v = -15 Divide each side by '-3'. v = 5 Simplifying v = 5
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