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Simplifying -4v + -7(1 + -8v) = 45 -4v + (1 * -7 + -8v * -7) = 45 -4v + (-7 + 56v) = 45 Reorder the terms: -7 + -4v + 56v = 45 Combine like terms: -4v + 56v = 52v -7 + 52v = 45 Solving -7 + 52v = 45 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 52v = 45 + 7 Combine like terms: -7 + 7 = 0 0 + 52v = 45 + 7 52v = 45 + 7 Combine like terms: 45 + 7 = 52 52v = 52 Divide each side by '52'. v = 1 Simplifying v = 1
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