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Simplifying 5(v + 2) + 3(v + 5) = 1 Reorder the terms: 5(2 + v) + 3(v + 5) = 1 (2 * 5 + v * 5) + 3(v + 5) = 1 (10 + 5v) + 3(v + 5) = 1 Reorder the terms: 10 + 5v + 3(5 + v) = 1 10 + 5v + (5 * 3 + v * 3) = 1 10 + 5v + (15 + 3v) = 1 Reorder the terms: 10 + 15 + 5v + 3v = 1 Combine like terms: 10 + 15 = 25 25 + 5v + 3v = 1 Combine like terms: 5v + 3v = 8v 25 + 8v = 1 Solving 25 + 8v = 1 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 8v = 1 + -25 Combine like terms: 25 + -25 = 0 0 + 8v = 1 + -25 8v = 1 + -25 Combine like terms: 1 + -25 = -24 8v = -24 Divide each side by '8'. v = -3 Simplifying v = -3
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