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Simplifying -7(-2v + 1) + v = 53 Reorder the terms: -7(1 + -2v) + v = 53 (1 * -7 + -2v * -7) + v = 53 (-7 + 14v) + v = 53 Combine like terms: 14v + v = 15v -7 + 15v = 53 Solving -7 + 15v = 53 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 15v = 53 + 7 Combine like terms: -7 + 7 = 0 0 + 15v = 53 + 7 15v = 53 + 7 Combine like terms: 53 + 7 = 60 15v = 60 Divide each side by '15'. v = 4 Simplifying v = 4
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