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Simplifying 13(v + 8) = -100 + -11v Reorder the terms: 13(8 + v) = -100 + -11v (8 * 13 + v * 13) = -100 + -11v (104 + 13v) = -100 + -11v Solving 104 + 13v = -100 + -11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '11v' to each side of the equation. 104 + 13v + 11v = -100 + -11v + 11v Combine like terms: 13v + 11v = 24v 104 + 24v = -100 + -11v + 11v Combine like terms: -11v + 11v = 0 104 + 24v = -100 + 0 104 + 24v = -100 Add '-104' to each side of the equation. 104 + -104 + 24v = -100 + -104 Combine like terms: 104 + -104 = 0 0 + 24v = -100 + -104 24v = -100 + -104 Combine like terms: -100 + -104 = -204 24v = -204 Divide each side by '24'. v = -8.5 Simplifying v = -8.5
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