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Simplifying -3v + -1 = -4 + 8(3 + -3v) Reorder the terms: -1 + -3v = -4 + 8(3 + -3v) -1 + -3v = -4 + (3 * 8 + -3v * 8) -1 + -3v = -4 + (24 + -24v) Combine like terms: -4 + 24 = 20 -1 + -3v = 20 + -24v Solving -1 + -3v = 20 + -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. -1 + -3v + 24v = 20 + -24v + 24v Combine like terms: -3v + 24v = 21v -1 + 21v = 20 + -24v + 24v Combine like terms: -24v + 24v = 0 -1 + 21v = 20 + 0 -1 + 21v = 20 Add '1' to each side of the equation. -1 + 1 + 21v = 20 + 1 Combine like terms: -1 + 1 = 0 0 + 21v = 20 + 1 21v = 20 + 1 Combine like terms: 20 + 1 = 21 21v = 21 Divide each side by '21'. v = 1 Simplifying v = 1
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