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Simplifying -8v + 5(v + 6) = 12 Reorder the terms: -8v + 5(6 + v) = 12 -8v + (6 * 5 + v * 5) = 12 -8v + (30 + 5v) = 12 Reorder the terms: 30 + -8v + 5v = 12 Combine like terms: -8v + 5v = -3v 30 + -3v = 12 Solving 30 + -3v = 12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -3v = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -3v = 12 + -30 -3v = 12 + -30 Combine like terms: 12 + -30 = -18 -3v = -18 Divide each side by '-3'. v = 6 Simplifying v = 6
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