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Simplifying -116 = 4(1 + -5v) + -4v -116 = (1 * 4 + -5v * 4) + -4v -116 = (4 + -20v) + -4v Combine like terms: -20v + -4v = -24v -116 = 4 + -24v Solving -116 = 4 + -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. -116 + 24v = 4 + -24v + 24v Combine like terms: -24v + 24v = 0 -116 + 24v = 4 + 0 -116 + 24v = 4 Add '116' to each side of the equation. -116 + 116 + 24v = 4 + 116 Combine like terms: -116 + 116 = 0 0 + 24v = 4 + 116 24v = 4 + 116 Combine like terms: 4 + 116 = 120 24v = 120 Divide each side by '24'. v = 5 Simplifying v = 5
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