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Simplifying 3(v + -6) + -5v = -32 Reorder the terms: 3(-6 + v) + -5v = -32 (-6 * 3 + v * 3) + -5v = -32 (-18 + 3v) + -5v = -32 Combine like terms: 3v + -5v = -2v -18 + -2v = -32 Solving -18 + -2v = -32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -2v = -32 + 18 Combine like terms: -18 + 18 = 0 0 + -2v = -32 + 18 -2v = -32 + 18 Combine like terms: -32 + 18 = -14 -2v = -14 Divide each side by '-2'. v = 7 Simplifying v = 7
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