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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 = -20v 32 + -20v = 72 + 24v + -24v Combine like terms: 24v + -24v = 0 32 + -20v = 72 + 0 32 + -20v = 72 Add '-32' to each side of the equation. 32 + -32 + -20v = 72 + -32 Combine like terms: 32 + -32 = 0 0 + -20v = 72 + -32 -20v = 72 + -32 Combine like terms: 72 + -32 = 40 -20v = 40 Divide each side by '-20'. v = -2 Simplifying v = -2
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