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Simplifying 8v + 7(v + 2) = 89 Reorder the terms: 8v + 7(2 + v) = 89 8v + (2 * 7 + v * 7) = 89 8v + (14 + 7v) = 89 Reorder the terms: 14 + 8v + 7v = 89 Combine like terms: 8v + 7v = 15v 14 + 15v = 89 Solving 14 + 15v = 89 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 15v = 89 + -14 Combine like terms: 14 + -14 = 0 0 + 15v = 89 + -14 15v = 89 + -14 Combine like terms: 89 + -14 = 75 15v = 75 Divide each side by '15'. v = 5 Simplifying v = 5
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