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Simplifying 2v + -8(1 + 7v) = 40 + -6v 2v + (1 * -8 + 7v * -8) = 40 + -6v 2v + (-8 + -56v) = 40 + -6v Reorder the terms: -8 + 2v + -56v = 40 + -6v Combine like terms: 2v + -56v = -54v -8 + -54v = 40 + -6v Solving -8 + -54v = 40 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -8 + -54v + 6v = 40 + -6v + 6v Combine like terms: -54v + 6v = -48v -8 + -48v = 40 + -6v + 6v Combine like terms: -6v + 6v = 0 -8 + -48v = 40 + 0 -8 + -48v = 40 Add '8' to each side of the equation. -8 + 8 + -48v = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -48v = 40 + 8 -48v = 40 + 8 Combine like terms: 40 + 8 = 48 -48v = 48 Divide each side by '-48'. v = -1 Simplifying v = -1
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