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Simplifying -4(8 + v) = 8(3v + 9) (8 * -4 + v * -4) = 8(3v + 9) (-32 + -4v) = 8(3v + 9) Reorder the terms: -32 + -4v = 8(9 + 3v) -32 + -4v = (9 * 8 + 3v * 8) -32 + -4v = (72 + 24v) Solving -32 + -4v = 72 + 24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24v' to each side of the equation. -32 + -4v + -24v = 72 + 24v + -24v Combine like terms: -4v + -24v = -28v -32 + -28v = 72 + 24v + -24v Combine like terms: 24v + -24v = 0 -32 + -28v = 72 + 0 -32 + -28v = 72 Add '32' to each side of the equation. -32 + 32 + -28v = 72 + 32 Combine like terms: -32 + 32 = 0 0 + -28v = 72 + 32 -28v = 72 + 32 Combine like terms: 72 + 32 = 104 -28v = 104 Divide each side by '-28'. v = -3.714285714 Simplifying v = -3.714285714
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