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Simplifying -4(1 + 8v) = -6v + -30 (1 * -4 + 8v * -4) = -6v + -30 (-4 + -32v) = -6v + -30 Reorder the terms: -4 + -32v = -30 + -6v Solving -4 + -32v = -30 + -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. -4 + -32v + 6v = -30 + -6v + 6v Combine like terms: -32v + 6v = -26v -4 + -26v = -30 + -6v + 6v Combine like terms: -6v + 6v = 0 -4 + -26v = -30 + 0 -4 + -26v = -30 Add '4' to each side of the equation. -4 + 4 + -26v = -30 + 4 Combine like terms: -4 + 4 = 0 0 + -26v = -30 + 4 -26v = -30 + 4 Combine like terms: -30 + 4 = -26 -26v = -26 Divide each side by '-26'. v = 1 Simplifying v = 1
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