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Simplifying 6(v + -8) + -8v = -32 Reorder the terms: 6(-8 + v) + -8v = -32 (-8 * 6 + v * 6) + -8v = -32 (-48 + 6v) + -8v = -32 Combine like terms: 6v + -8v = -2v -48 + -2v = -32 Solving -48 + -2v = -32 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 + -2v = -32 + 48 Combine like terms: -48 + 48 = 0 0 + -2v = -32 + 48 -2v = -32 + 48 Combine like terms: -32 + 48 = 16 -2v = 16 Divide each side by '-2'. v = -8 Simplifying v = -8
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