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Simplifying -8(1 + 6v) = -7v + 33 (1 * -8 + 6v * -8) = -7v + 33 (-8 + -48v) = -7v + 33 Reorder the terms: -8 + -48v = 33 + -7v Solving -8 + -48v = 33 + -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. -8 + -48v + 7v = 33 + -7v + 7v Combine like terms: -48v + 7v = -41v -8 + -41v = 33 + -7v + 7v Combine like terms: -7v + 7v = 0 -8 + -41v = 33 + 0 -8 + -41v = 33 Add '8' to each side of the equation. -8 + 8 + -41v = 33 + 8 Combine like terms: -8 + 8 = 0 0 + -41v = 33 + 8 -41v = 33 + 8 Combine like terms: 33 + 8 = 41 -41v = 41 Divide each side by '-41'. v = -1 Simplifying v = -1
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