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Simplifying 4(8 + v) = 8(3v + 4) (8 * 4 + v * 4) = 8(3v + 4) (32 + 4v) = 8(3v + 4) Reorder the terms: 32 + 4v = 8(4 + 3v) 32 + 4v = (4 * 8 + 3v * 8) 32 + 4v = (32 + 24v) Add '-32' to each side of the equation. 32 + -32 + 4v = 32 + -32 + 24v Combine like terms: 32 + -32 = 0 0 + 4v = 32 + -32 + 24v 4v = 32 + -32 + 24v Combine like terms: 32 + -32 = 0 4v = 0 + 24v 4v = 24v Solving 4v = 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. 4v + -24v = 24v + -24v Combine like terms: 4v + -24v = -20v -20v = 24v + -24v Combine like terms: 24v + -24v = 0 -20v = 0 Divide each side by '-20'. v = 0.0 Simplifying v = 0.0
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