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Simplifying 7(v + 17) = 6v Reorder the terms: 7(17 + v) = 6v (17 * 7 + v * 7) = 6v (119 + 7v) = 6v Solving 119 + 7v = 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 119 + 7v + -6v = 6v + -6v Combine like terms: 7v + -6v = 1v 119 + 1v = 6v + -6v Combine like terms: 6v + -6v = 0 119 + 1v = 0 Add '-119' to each side of the equation. 119 + -119 + 1v = 0 + -119 Combine like terms: 119 + -119 = 0 0 + 1v = 0 + -119 1v = 0 + -119 Combine like terms: 0 + -119 = -119 1v = -119 Divide each side by '1'. v = -119 Simplifying v = -119
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