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Simplifying -2(1 + 8v) = -5(5v + 8) + 2 (1 * -2 + 8v * -2) = -5(5v + 8) + 2 (-2 + -16v) = -5(5v + 8) + 2 Reorder the terms: -2 + -16v = -5(8 + 5v) + 2 -2 + -16v = (8 * -5 + 5v * -5) + 2 -2 + -16v = (-40 + -25v) + 2 Reorder the terms: -2 + -16v = -40 + 2 + -25v Combine like terms: -40 + 2 = -38 -2 + -16v = -38 + -25v Solving -2 + -16v = -38 + -25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '25v' to each side of the equation. -2 + -16v + 25v = -38 + -25v + 25v Combine like terms: -16v + 25v = 9v -2 + 9v = -38 + -25v + 25v Combine like terms: -25v + 25v = 0 -2 + 9v = -38 + 0 -2 + 9v = -38 Add '2' to each side of the equation. -2 + 2 + 9v = -38 + 2 Combine like terms: -2 + 2 = 0 0 + 9v = -38 + 2 9v = -38 + 2 Combine like terms: -38 + 2 = -36 9v = -36 Divide each side by '9'. v = -4 Simplifying v = -4
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