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Simplifying -8v + 5(v + -7) = -32 Reorder the terms: -8v + 5(-7 + v) = -32 -8v + (-7 * 5 + v * 5) = -32 -8v + (-35 + 5v) = -32 Reorder the terms: -35 + -8v + 5v = -32 Combine like terms: -8v + 5v = -3v -35 + -3v = -32 Solving -35 + -3v = -32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -3v = -32 + 35 Combine like terms: -35 + 35 = 0 0 + -3v = -32 + 35 -3v = -32 + 35 Combine like terms: -32 + 35 = 3 -3v = 3 Divide each side by '-3'. v = -1 Simplifying v = -1
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