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Simplifying 12 = 5(v + -4) + 3v Reorder the terms: 12 = 5(-4 + v) + 3v 12 = (-4 * 5 + v * 5) + 3v 12 = (-20 + 5v) + 3v Combine like terms: 5v + 3v = 8v 12 = -20 + 8v Solving 12 = -20 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 12 + -8v = -20 + 8v + -8v Combine like terms: 8v + -8v = 0 12 + -8v = -20 + 0 12 + -8v = -20 Add '-12' to each side of the equation. 12 + -12 + -8v = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -8v = -20 + -12 -8v = -20 + -12 Combine like terms: -20 + -12 = -32 -8v = -32 Divide each side by '-8'. v = 4 Simplifying v = 4
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