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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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