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Simplifying -6(-7 + -7v) = -7 + -7v (-7 * -6 + -7v * -6) = -7 + -7v (42 + 42v) = -7 + -7v Solving 42 + 42v = -7 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 42 + 42v + 7v = -7 + -7v + 7v Combine like terms: 42v + 7v = 49v 42 + 49v = -7 + -7v + 7v Combine like terms: -7v + 7v = 0 42 + 49v = -7 + 0 42 + 49v = -7 Add '-42' to each side of the equation. 42 + -42 + 49v = -7 + -42 Combine like terms: 42 + -42 = 0 0 + 49v = -7 + -42 49v = -7 + -42 Combine like terms: -7 + -42 = -49 49v = -49 Divide each side by '49'. v = -1 Simplifying v = -1
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