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Simplifying 121 = -5 + 6(-4v + 5) Reorder the terms: 121 = -5 + 6(5 + -4v) 121 = -5 + (5 * 6 + -4v * 6) 121 = -5 + (30 + -24v) Combine like terms: -5 + 30 = 25 121 = 25 + -24v Solving 121 = 25 + -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. 121 + 24v = 25 + -24v + 24v Combine like terms: -24v + 24v = 0 121 + 24v = 25 + 0 121 + 24v = 25 Add '-121' to each side of the equation. 121 + -121 + 24v = 25 + -121 Combine like terms: 121 + -121 = 0 0 + 24v = 25 + -121 24v = 25 + -121 Combine like terms: 25 + -121 = -96 24v = -96 Divide each side by '24'. v = -4 Simplifying v = -4
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