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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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