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Simplifying -6(v + 8) = -8v + -40 Reorder the terms: -6(8 + v) = -8v + -40 (8 * -6 + v * -6) = -8v + -40 (-48 + -6v) = -8v + -40 Reorder the terms: -48 + -6v = -40 + -8v Solving -48 + -6v = -40 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -48 + -6v + 8v = -40 + -8v + 8v Combine like terms: -6v + 8v = 2v -48 + 2v = -40 + -8v + 8v Combine like terms: -8v + 8v = 0 -48 + 2v = -40 + 0 -48 + 2v = -40 Add '48' to each side of the equation. -48 + 48 + 2v = -40 + 48 Combine like terms: -48 + 48 = 0 0 + 2v = -40 + 48 2v = -40 + 48 Combine like terms: -40 + 48 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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