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Simplifying -3v + 38 = 2(v + -6) Reorder the terms: 38 + -3v = 2(v + -6) Reorder the terms: 38 + -3v = 2(-6 + v) 38 + -3v = (-6 * 2 + v * 2) 38 + -3v = (-12 + 2v) Solving 38 + -3v = -12 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 38 + -3v + -2v = -12 + 2v + -2v Combine like terms: -3v + -2v = -5v 38 + -5v = -12 + 2v + -2v Combine like terms: 2v + -2v = 0 38 + -5v = -12 + 0 38 + -5v = -12 Add '-38' to each side of the equation. 38 + -38 + -5v = -12 + -38 Combine like terms: 38 + -38 = 0 0 + -5v = -12 + -38 -5v = -12 + -38 Combine like terms: -12 + -38 = -50 -5v = -50 Divide each side by '-5'. v = 10 Simplifying v = 10
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