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Simplifying -7(7v + 5) + 7 = 315 Reorder the terms: -7(5 + 7v) + 7 = 315 (5 * -7 + 7v * -7) + 7 = 315 (-35 + -49v) + 7 = 315 Reorder the terms: -35 + 7 + -49v = 315 Combine like terms: -35 + 7 = -28 -28 + -49v = 315 Solving -28 + -49v = 315 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -49v = 315 + 28 Combine like terms: -28 + 28 = 0 0 + -49v = 315 + 28 -49v = 315 + 28 Combine like terms: 315 + 28 = 343 -49v = 343 Divide each side by '-49'. v = -7 Simplifying v = -7
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