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Simplifying 8(3v + -1) = -40 + 8v Reorder the terms: 8(-1 + 3v) = -40 + 8v (-1 * 8 + 3v * 8) = -40 + 8v (-8 + 24v) = -40 + 8v Solving -8 + 24v = -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. -8 + 24v + -8v = -40 + 8v + -8v Combine like terms: 24v + -8v = 16v -8 + 16v = -40 + 8v + -8v Combine like terms: 8v + -8v = 0 -8 + 16v = -40 + 0 -8 + 16v = -40 Add '8' to each side of the equation. -8 + 8 + 16v = -40 + 8 Combine like terms: -8 + 8 = 0 0 + 16v = -40 + 8 16v = -40 + 8 Combine like terms: -40 + 8 = -32 16v = -32 Divide each side by '16'. v = -2 Simplifying v = -2
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