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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 = -5 -5 + 5v + -3v = 1 Combine like terms: 5v + -3v = 2v -5 + 2v = 1 Solving -5 + 2v = 1 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2v = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 2v = 1 + 5 2v = 1 + 5 Combine like terms: 1 + 5 = 6 2v = 6 Divide each side by '2'. v = 3 Simplifying v = 3
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