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Simplifying -40 + -8v = -7(8v + -8) Reorder the terms: -40 + -8v = -7(-8 + 8v) -40 + -8v = (-8 * -7 + 8v * -7) -40 + -8v = (56 + -56v) Solving -40 + -8v = 56 + -56v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '56v' to each side of the equation. -40 + -8v + 56v = 56 + -56v + 56v Combine like terms: -8v + 56v = 48v -40 + 48v = 56 + -56v + 56v Combine like terms: -56v + 56v = 0 -40 + 48v = 56 + 0 -40 + 48v = 56 Add '40' to each side of the equation. -40 + 40 + 48v = 56 + 40 Combine like terms: -40 + 40 = 0 0 + 48v = 56 + 40 48v = 56 + 40 Combine like terms: 56 + 40 = 96 48v = 96 Divide each side by '48'. v = 2 Simplifying v = 2
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