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Simplifying -6 = 5(v + 2) + -7v Reorder the terms: -6 = 5(2 + v) + -7v -6 = (2 * 5 + v * 5) + -7v -6 = (10 + 5v) + -7v Combine like terms: 5v + -7v = -2v -6 = 10 + -2v Solving -6 = 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. -6 + 2v = 10 + -2v + 2v Combine like terms: -2v + 2v = 0 -6 + 2v = 10 + 0 -6 + 2v = 10 Add '6' to each side of the equation. -6 + 6 + 2v = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 2v = 10 + 6 2v = 10 + 6 Combine like terms: 10 + 6 = 16 2v = 16 Divide each side by '2'. v = 8 Simplifying v = 8
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