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Simplifying 6(v + 8) + 3v = 12 Reorder the terms: 6(8 + v) + 3v = 12 (8 * 6 + v * 6) + 3v = 12 (48 + 6v) + 3v = 12 Combine like terms: 6v + 3v = 9v 48 + 9v = 12 Solving 48 + 9v = 12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 9v = 12 + -48 Combine like terms: 48 + -48 = 0 0 + 9v = 12 + -48 9v = 12 + -48 Combine like terms: 12 + -48 = -36 9v = -36 Divide each side by '9'. v = -4 Simplifying v = -4
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