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Simplifying 38 = 3(v + -4) + -8v Reorder the terms: 38 = 3(-4 + v) + -8v 38 = (-4 * 3 + v * 3) + -8v 38 = (-12 + 3v) + -8v Combine like terms: 3v + -8v = -5v 38 = -12 + -5v Solving 38 = -12 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 38 + 5v = -12 + -5v + 5v Combine like terms: -5v + 5v = 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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