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Simplifying 8v + -32 = 2(v + 5) Reorder the terms: -32 + 8v = 2(v + 5) Reorder the terms: -32 + 8v = 2(5 + v) -32 + 8v = (5 * 2 + v * 2) -32 + 8v = (10 + 2v) Solving -32 + 8v = 10 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -32 + 8v + -2v = 10 + 2v + -2v Combine like terms: 8v + -2v = 6v -32 + 6v = 10 + 2v + -2v Combine like terms: 2v + -2v = 0 -32 + 6v = 10 + 0 -32 + 6v = 10 Add '32' to each side of the equation. -32 + 32 + 6v = 10 + 32 Combine like terms: -32 + 32 = 0 0 + 6v = 10 + 32 6v = 10 + 32 Combine like terms: 10 + 32 = 42 6v = 42 Divide each side by '6'. v = 7 Simplifying v = 7
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