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Simplifying 3v + 36 = 3(8v + -2) Reorder the terms: 36 + 3v = 3(8v + -2) Reorder the terms: 36 + 3v = 3(-2 + 8v) 36 + 3v = (-2 * 3 + 8v * 3) 36 + 3v = (-6 + 24v) Solving 36 + 3v = -6 + 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. 36 + 3v + -24v = -6 + 24v + -24v Combine like terms: 3v + -24v = -21v 36 + -21v = -6 + 24v + -24v Combine like terms: 24v + -24v = 0 36 + -21v = -6 + 0 36 + -21v = -6 Add '-36' to each side of the equation. 36 + -36 + -21v = -6 + -36 Combine like terms: 36 + -36 = 0 0 + -21v = -6 + -36 -21v = -6 + -36 Combine like terms: -6 + -36 = -42 -21v = -42 Divide each side by '-21'. v = 2 Simplifying v = 2
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