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Simplifying 0 = 27 + v + -4(3 + v) 0 = 27 + v + (3 * -4 + v * -4) 0 = 27 + v + (-12 + -4v) Reorder the terms: 0 = 27 + -12 + v + -4v Combine like terms: 27 + -12 = 15 0 = 15 + v + -4v Combine like terms: v + -4v = -3v 0 = 15 + -3v Solving 0 = 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. 0 + 3v = 15 + -3v + 3v Remove the zero: 3v = 15 + -3v + 3v Combine like terms: -3v + 3v = 0 3v = 15 + 0 3v = 15 Divide each side by '3'. v = 5 Simplifying v = 5
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