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Simplifying 6v + -24 = 3(8v + 4) Reorder the terms: -24 + 6v = 3(8v + 4) Reorder the terms: -24 + 6v = 3(4 + 8v) -24 + 6v = (4 * 3 + 8v * 3) -24 + 6v = (12 + 24v) Solving -24 + 6v = 12 + 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. -24 + 6v + -24v = 12 + 24v + -24v Combine like terms: 6v + -24v = -18v -24 + -18v = 12 + 24v + -24v Combine like terms: 24v + -24v = 0 -24 + -18v = 12 + 0 -24 + -18v = 12 Add '24' to each side of the equation. -24 + 24 + -18v = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -18v = 12 + 24 -18v = 12 + 24 Combine like terms: 12 + 24 = 36 -18v = 36 Divide each side by '-18'. v = -2 Simplifying v = -2
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