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Simplifying -8(27v + 6) = 40 + -16v Reorder the terms: -8(6 + 27v) = 40 + -16v (6 * -8 + 27v * -8) = 40 + -16v (-48 + -216v) = 40 + -16v Solving -48 + -216v = 40 + -16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16v' to each side of the equation. -48 + -216v + 16v = 40 + -16v + 16v Combine like terms: -216v + 16v = -200v -48 + -200v = 40 + -16v + 16v Combine like terms: -16v + 16v = 0 -48 + -200v = 40 + 0 -48 + -200v = 40 Add '48' to each side of the equation. -48 + 48 + -200v = 40 + 48 Combine like terms: -48 + 48 = 0 0 + -200v = 40 + 48 -200v = 40 + 48 Combine like terms: 40 + 48 = 88 -200v = 88 Divide each side by '-200'. v = -0.44 Simplifying v = -0.44
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