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Simplifying -1v + 5(-5v + -8) = 40 + -6v Reorder the terms: -1v + 5(-8 + -5v) = 40 + -6v -1v + (-8 * 5 + -5v * 5) = 40 + -6v -1v + (-40 + -25v) = 40 + -6v Reorder the terms: -40 + -1v + -25v = 40 + -6v Combine like terms: -1v + -25v = -26v -40 + -26v = 40 + -6v Solving -40 + -26v = 40 + -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. -40 + -26v + 6v = 40 + -6v + 6v Combine like terms: -26v + 6v = -20v -40 + -20v = 40 + -6v + 6v Combine like terms: -6v + 6v = 0 -40 + -20v = 40 + 0 -40 + -20v = 40 Add '40' to each side of the equation. -40 + 40 + -20v = 40 + 40 Combine like terms: -40 + 40 = 0 0 + -20v = 40 + 40 -20v = 40 + 40 Combine like terms: 40 + 40 = 80 -20v = 80 Divide each side by '-20'. v = -4 Simplifying v = -4
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