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Simplifying 8 = 3(v + -4) + -8v Reorder the terms: 8 = 3(-4 + v) + -8v 8 = (-4 * 3 + v * 3) + -8v 8 = (-12 + 3v) + -8v Combine like terms: 3v + -8v = -5v 8 = -12 + -5v Solving 8 = -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. 8 + 5v = -12 + -5v + 5v Combine like terms: -5v + 5v = 0 8 + 5v = -12 + 0 8 + 5v = -12 Add '-8' to each side of the equation. 8 + -8 + 5v = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 5v = -12 + -8 5v = -12 + -8 Combine like terms: -12 + -8 = -20 5v = -20 Divide each side by '5'. v = -4 Simplifying v = -4
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