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