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Simplifying -8(5v + 5) = -5(-8v + -8) Reorder the terms: -8(5 + 5v) = -5(-8v + -8) (5 * -8 + 5v * -8) = -5(-8v + -8) (-40 + -40v) = -5(-8v + -8) Reorder the terms: -40 + -40v = -5(-8 + -8v) -40 + -40v = (-8 * -5 + -8v * -5) -40 + -40v = (40 + 40v) Solving -40 + -40v = 40 + 40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-40v' to each side of the equation. -40 + -40v + -40v = 40 + 40v + -40v Combine like terms: -40v + -40v = -80v -40 + -80v = 40 + 40v + -40v Combine like terms: 40v + -40v = 0 -40 + -80v = 40 + 0 -40 + -80v = 40 Add '40' to each side of the equation. -40 + 40 + -80v = 40 + 40 Combine like terms: -40 + 40 = 0 0 + -80v = 40 + 40 -80v = 40 + 40 Combine like terms: 40 + 40 = 80 -80v = 80 Divide each side by '-80'. v = -1 Simplifying v = -1
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