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Simplifying 6(v + 2) + 5v = -32 Reorder the terms: 6(2 + v) + 5v = -32 (2 * 6 + v * 6) + 5v = -32 (12 + 6v) + 5v = -32 Combine like terms: 6v + 5v = 11v 12 + 11v = -32 Solving 12 + 11v = -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 + 11v = -32 + -12 Combine like terms: 12 + -12 = 0 0 + 11v = -32 + -12 11v = -32 + -12 Combine like terms: -32 + -12 = -44 11v = -44 Divide each side by '11'. v = -4 Simplifying v = -4
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