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Simplifying 12v + -3(6v + -5) + 6 = 0 Reorder the terms: 12v + -3(-5 + 6v) + 6 = 0 12v + (-5 * -3 + 6v * -3) + 6 = 0 12v + (15 + -18v) + 6 = 0 Reorder the terms: 15 + 6 + 12v + -18v = 0 Combine like terms: 15 + 6 = 21 21 + 12v + -18v = 0 Combine like terms: 12v + -18v = -6v 21 + -6v = 0 Solving 21 + -6v = 0 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 + -6v = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -6v = 0 + -21 -6v = 0 + -21 Combine like terms: 0 + -21 = -21 -6v = -21 Divide each side by '-6'. v = 3.5 Simplifying v = 3.5
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