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Simplifying -8(5v + -7) = -40 + -8v Reorder the terms: -8(-7 + 5v) = -40 + -8v (-7 * -8 + 5v * -8) = -40 + -8v (56 + -40v) = -40 + -8v Solving 56 + -40v = -40 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 56 + -40v + 8v = -40 + -8v + 8v Combine like terms: -40v + 8v = -32v 56 + -32v = -40 + -8v + 8v Combine like terms: -8v + 8v = 0 56 + -32v = -40 + 0 56 + -32v = -40 Add '-56' to each side of the equation. 56 + -56 + -32v = -40 + -56 Combine like terms: 56 + -56 = 0 0 + -32v = -40 + -56 -32v = -40 + -56 Combine like terms: -40 + -56 = -96 -32v = -96 Divide each side by '-32'. v = 3 Simplifying v = 3
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