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Simplifying -8v + -36 = -4 + 4(4 + -6v) Reorder the terms: -36 + -8v = -4 + 4(4 + -6v) -36 + -8v = -4 + (4 * 4 + -6v * 4) -36 + -8v = -4 + (16 + -24v) Combine like terms: -4 + 16 = 12 -36 + -8v = 12 + -24v Solving -36 + -8v = 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. -36 + -8v + 24v = 12 + -24v + 24v Combine like terms: -8v + 24v = 16v -36 + 16v = 12 + -24v + 24v Combine like terms: -24v + 24v = 0 -36 + 16v = 12 + 0 -36 + 16v = 12 Add '36' to each side of the equation. -36 + 36 + 16v = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 16v = 12 + 36 16v = 12 + 36 Combine like terms: 12 + 36 = 48 16v = 48 Divide each side by '16'. v = 3 Simplifying v = 3
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