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Simplifying 12 = -3v + 8(v + 4) Reorder the terms: 12 = -3v + 8(4 + v) 12 = -3v + (4 * 8 + v * 8) 12 = -3v + (32 + 8v) Reorder the terms: 12 = 32 + -3v + 8v Combine like terms: -3v + 8v = 5v 12 = 32 + 5v Solving 12 = 32 + 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. 12 + -5v = 32 + 5v + -5v Combine like terms: 5v + -5v = 0 12 + -5v = 32 + 0 12 + -5v = 32 Add '-12' to each side of the equation. 12 + -12 + -5v = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -5v = 32 + -12 -5v = 32 + -12 Combine like terms: 32 + -12 = 20 -5v = 20 Divide each side by '-5'. v = -4 Simplifying v = -4
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