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