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Simplifying -8(1 + -7v) + 8v = -456 (1 * -8 + -7v * -8) + 8v = -456 (-8 + 56v) + 8v = -456 Combine like terms: 56v + 8v = 64v -8 + 64v = -456 Solving -8 + 64v = -456 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 64v = -456 + 8 Combine like terms: -8 + 8 = 0 0 + 64v = -456 + 8 64v = -456 + 8 Combine like terms: -456 + 8 = -448 64v = -448 Divide each side by '64'. v = -7 Simplifying v = -7
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