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Simplifying -8v + 6(v + 2) = 32 Reorder the terms: -8v + 6(2 + v) = 32 -8v + (2 * 6 + v * 6) = 32 -8v + (12 + 6v) = 32 Reorder the terms: 12 + -8v + 6v = 32 Combine like terms: -8v + 6v = -2v 12 + -2v = 32 Solving 12 + -2v = 32 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 + -2v = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -2v = 32 + -12 -2v = 32 + -12 Combine like terms: 32 + -12 = 20 -2v = 20 Divide each side by '-2'. v = -10 Simplifying v = -10
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