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Simplifying -8(v + 7) = -5v + -32 Reorder the terms: -8(7 + v) = -5v + -32 (7 * -8 + v * -8) = -5v + -32 (-56 + -8v) = -5v + -32 Reorder the terms: -56 + -8v = -32 + -5v Solving -56 + -8v = -32 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -56 + -8v + 5v = -32 + -5v + 5v Combine like terms: -8v + 5v = -3v -56 + -3v = -32 + -5v + 5v Combine like terms: -5v + 5v = 0 -56 + -3v = -32 + 0 -56 + -3v = -32 Add '56' to each side of the equation. -56 + 56 + -3v = -32 + 56 Combine like terms: -56 + 56 = 0 0 + -3v = -32 + 56 -3v = -32 + 56 Combine like terms: -32 + 56 = 24 -3v = 24 Divide each side by '-3'. v = -8 Simplifying v = -8
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