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Simplifying 5v + 2(v + -5) = 32 Reorder the terms: 5v + 2(-5 + v) = 32 5v + (-5 * 2 + v * 2) = 32 5v + (-10 + 2v) = 32 Reorder the terms: -10 + 5v + 2v = 32 Combine like terms: 5v + 2v = 7v -10 + 7v = 32 Solving -10 + 7v = 32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 7v = 32 + 10 Combine like terms: -10 + 10 = 0 0 + 7v = 32 + 10 7v = 32 + 10 Combine like terms: 32 + 10 = 42 7v = 42 Divide each side by '7'. v = 6 Simplifying v = 6
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