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Simplifying 56 = 7(1 + v) + 7(v + 7) 56 = (1 * 7 + v * 7) + 7(v + 7) 56 = (7 + 7v) + 7(v + 7) Reorder the terms: 56 = 7 + 7v + 7(7 + v) 56 = 7 + 7v + (7 * 7 + v * 7) 56 = 7 + 7v + (49 + 7v) Reorder the terms: 56 = 7 + 49 + 7v + 7v Combine like terms: 7 + 49 = 56 56 = 56 + 7v + 7v Combine like terms: 7v + 7v = 14v 56 = 56 + 14v Add '-56' to each side of the equation. 56 + -56 = 56 + -56 + 14v Combine like terms: 56 + -56 = 0 0 = 56 + -56 + 14v Combine like terms: 56 + -56 = 0 0 = 0 + 14v 0 = 14v Solving 0 = 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. 0 + -14v = 14v + -14v Remove the zero: -14v = 14v + -14v Combine like terms: 14v + -14v = 0 -14v = 0 Divide each side by '-14'. v = 0 Simplifying v = 0
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