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Simplifying 15 + -5v = 7(7 + -2v) + 2 15 + -5v = (7 * 7 + -2v * 7) + 2 15 + -5v = (49 + -14v) + 2 Reorder the terms: 15 + -5v = 49 + 2 + -14v Combine like terms: 49 + 2 = 51 15 + -5v = 51 + -14v Solving 15 + -5v = 51 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. 15 + -5v + 14v = 51 + -14v + 14v Combine like terms: -5v + 14v = 9v 15 + 9v = 51 + -14v + 14v Combine like terms: -14v + 14v = 0 15 + 9v = 51 + 0 15 + 9v = 51 Add '-15' to each side of the equation. 15 + -15 + 9v = 51 + -15 Combine like terms: 15 + -15 = 0 0 + 9v = 51 + -15 9v = 51 + -15 Combine like terms: 51 + -15 = 36 9v = 36 Divide each side by '9'. v = 4 Simplifying v = 4
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