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Simplifying -1 + -1v = 7(7v + -8) + 5 Reorder the terms: -1 + -1v = 7(-8 + 7v) + 5 -1 + -1v = (-8 * 7 + 7v * 7) + 5 -1 + -1v = (-56 + 49v) + 5 Reorder the terms: -1 + -1v = -56 + 5 + 49v Combine like terms: -56 + 5 = -51 -1 + -1v = -51 + 49v Solving -1 + -1v = -51 + 49v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-49v' to each side of the equation. -1 + -1v + -49v = -51 + 49v + -49v Combine like terms: -1v + -49v = -50v -1 + -50v = -51 + 49v + -49v Combine like terms: 49v + -49v = 0 -1 + -50v = -51 + 0 -1 + -50v = -51 Add '1' to each side of the equation. -1 + 1 + -50v = -51 + 1 Combine like terms: -1 + 1 = 0 0 + -50v = -51 + 1 -50v = -51 + 1 Combine like terms: -51 + 1 = -50 -50v = -50 Divide each side by '-50'. v = 1 Simplifying v = 1
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