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Simplifying -6 + -7v = -6(4v + 1) Reorder the terms: -6 + -7v = -6(1 + 4v) -6 + -7v = (1 * -6 + 4v * -6) -6 + -7v = (-6 + -24v) Add '6' to each side of the equation. -6 + 6 + -7v = -6 + 6 + -24v Combine like terms: -6 + 6 = 0 0 + -7v = -6 + 6 + -24v -7v = -6 + 6 + -24v Combine like terms: -6 + 6 = 0 -7v = 0 + -24v -7v = -24v Solving -7v = -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. -7v + 24v = -24v + 24v Combine like terms: -7v + 24v = 17v 17v = -24v + 24v Combine like terms: -24v + 24v = 0 17v = 0 Divide each side by '17'. v = 0 Simplifying v = 0
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