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Simplifying -8(7v + -3) = -32 Reorder the terms: -8(-3 + 7v) = -32 (-3 * -8 + 7v * -8) = -32 (24 + -56v) = -32 Solving 24 + -56v = -32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -56v = -32 + -24 Combine like terms: 24 + -24 = 0 0 + -56v = -32 + -24 -56v = -32 + -24 Combine like terms: -32 + -24 = -56 -56v = -56 Divide each side by '-56'. v = 1 Simplifying v = 1
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