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Simplifying -6(1 + 8v) = -6v + 36 (1 * -6 + 8v * -6) = -6v + 36 (-6 + -48v) = -6v + 36 Reorder the terms: -6 + -48v = 36 + -6v Solving -6 + -48v = 36 + -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. -6 + -48v + 6v = 36 + -6v + 6v Combine like terms: -48v + 6v = -42v -6 + -42v = 36 + -6v + 6v Combine like terms: -6v + 6v = 0 -6 + -42v = 36 + 0 -6 + -42v = 36 Add '6' to each side of the equation. -6 + 6 + -42v = 36 + 6 Combine like terms: -6 + 6 = 0 0 + -42v = 36 + 6 -42v = 36 + 6 Combine like terms: 36 + 6 = 42 -42v = 42 Divide each side by '-42'. v = -1 Simplifying v = -1
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