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Simplifying 4(3v + 6) + -3 = 117 Reorder the terms: 4(6 + 3v) + -3 = 117 (6 * 4 + 3v * 4) + -3 = 117 (24 + 12v) + -3 = 117 Reorder the terms: 24 + -3 + 12v = 117 Combine like terms: 24 + -3 = 21 21 + 12v = 117 Solving 21 + 12v = 117 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 12v = 117 + -21 Combine like terms: 21 + -21 = 0 0 + 12v = 117 + -21 12v = 117 + -21 Combine like terms: 117 + -21 = 96 12v = 96 Divide each side by '12'. v = 8 Simplifying v = 8
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