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Simplifying 8(4 + -7v) + -7v = -472 (4 * 8 + -7v * 8) + -7v = -472 (32 + -56v) + -7v = -472 Combine like terms: -56v + -7v = -63v 32 + -63v = -472 Solving 32 + -63v = -472 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -63v = -472 + -32 Combine like terms: 32 + -32 = 0 0 + -63v = -472 + -32 -63v = -472 + -32 Combine like terms: -472 + -32 = -504 -63v = -504 Divide each side by '-63'. v = 8 Simplifying v = 8
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