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Simplifying 8v + 26 = -7(v + 7) Reorder the terms: 26 + 8v = -7(v + 7) Reorder the terms: 26 + 8v = -7(7 + v) 26 + 8v = (7 * -7 + v * -7) 26 + 8v = (-49 + -7v) Solving 26 + 8v = -49 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 26 + 8v + 7v = -49 + -7v + 7v Combine like terms: 8v + 7v = 15v 26 + 15v = -49 + -7v + 7v Combine like terms: -7v + 7v = 0 26 + 15v = -49 + 0 26 + 15v = -49 Add '-26' to each side of the equation. 26 + -26 + 15v = -49 + -26 Combine like terms: 26 + -26 = 0 0 + 15v = -49 + -26 15v = -49 + -26 Combine like terms: -49 + -26 = -75 15v = -75 Divide each side by '15'. v = -5 Simplifying v = -5
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