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Simplifying -39 = 4(v + -3) + -7v Reorder the terms: -39 = 4(-3 + v) + -7v -39 = (-3 * 4 + v * 4) + -7v -39 = (-12 + 4v) + -7v Combine like terms: 4v + -7v = -3v -39 = -12 + -3v Solving -39 = -12 + -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. -39 + 3v = -12 + -3v + 3v Combine like terms: -3v + 3v = 0 -39 + 3v = -12 + 0 -39 + 3v = -12 Add '39' to each side of the equation. -39 + 39 + 3v = -12 + 39 Combine like terms: -39 + 39 = 0 0 + 3v = -12 + 39 3v = -12 + 39 Combine like terms: -12 + 39 = 27 3v = 27 Divide each side by '3'. v = 9 Simplifying v = 9
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