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Simplifying -7(7v + 2) + 8 = -251 Reorder the terms: -7(2 + 7v) + 8 = -251 (2 * -7 + 7v * -7) + 8 = -251 (-14 + -49v) + 8 = -251 Reorder the terms: -14 + 8 + -49v = -251 Combine like terms: -14 + 8 = -6 -6 + -49v = -251 Solving -6 + -49v = -251 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -49v = -251 + 6 Combine like terms: -6 + 6 = 0 0 + -49v = -251 + 6 -49v = -251 + 6 Combine like terms: -251 + 6 = -245 -49v = -245 Divide each side by '-49'. v = 5 Simplifying v = 5
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