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Simplifying -146 = 8 + -7(1 + -7v) -146 = 8 + (1 * -7 + -7v * -7) -146 = 8 + (-7 + 49v) Combine like terms: 8 + -7 = 1 -146 = 1 + 49v Solving -146 = 1 + 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. -146 + -49v = 1 + 49v + -49v Combine like terms: 49v + -49v = 0 -146 + -49v = 1 + 0 -146 + -49v = 1 Add '146' to each side of the equation. -146 + 146 + -49v = 1 + 146 Combine like terms: -146 + 146 = 0 0 + -49v = 1 + 146 -49v = 1 + 146 Combine like terms: 1 + 146 = 147 -49v = 147 Divide each side by '-49'. v = -3 Simplifying v = -3
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