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Simplifying -177 = -3v + 3(5 + -7v) -177 = -3v + (5 * 3 + -7v * 3) -177 = -3v + (15 + -21v) Reorder the terms: -177 = 15 + -3v + -21v Combine like terms: -3v + -21v = -24v -177 = 15 + -24v Solving -177 = 15 + -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. -177 + 24v = 15 + -24v + 24v Combine like terms: -24v + 24v = 0 -177 + 24v = 15 + 0 -177 + 24v = 15 Add '177' to each side of the equation. -177 + 177 + 24v = 15 + 177 Combine like terms: -177 + 177 = 0 0 + 24v = 15 + 177 24v = 15 + 177 Combine like terms: 15 + 177 = 192 24v = 192 Divide each side by '24'. v = 8 Simplifying v = 8
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