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Simplifying -5(8 + -7v) = -40 + -3v (8 * -5 + -7v * -5) = -40 + -3v (-40 + 35v) = -40 + -3v Add '40' to each side of the equation. -40 + 40 + 35v = -40 + 40 + -3v Combine like terms: -40 + 40 = 0 0 + 35v = -40 + 40 + -3v 35v = -40 + 40 + -3v Combine like terms: -40 + 40 = 0 35v = 0 + -3v 35v = -3v Solving 35v = -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 35v + 3v = -3v + 3v Combine like terms: 35v + 3v = 38v 38v = -3v + 3v Combine like terms: -3v + 3v = 0 38v = 0 Divide each side by '38'. v = 0 Simplifying v = 0
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