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Simplifying -2(20 + -5v) = -3v + 19 + -9 + -7v (20 * -2 + -5v * -2) = -3v + 19 + -9 + -7v (-40 + 10v) = -3v + 19 + -9 + -7v Reorder the terms: -40 + 10v = 19 + -9 + -3v + -7v Combine like terms: 19 + -9 = 10 -40 + 10v = 10 + -3v + -7v Combine like terms: -3v + -7v = -10v -40 + 10v = 10 + -10v Solving -40 + 10v = 10 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. -40 + 10v + 10v = 10 + -10v + 10v Combine like terms: 10v + 10v = 20v -40 + 20v = 10 + -10v + 10v Combine like terms: -10v + 10v = 0 -40 + 20v = 10 + 0 -40 + 20v = 10 Add '40' to each side of the equation. -40 + 40 + 20v = 10 + 40 Combine like terms: -40 + 40 = 0 0 + 20v = 10 + 40 20v = 10 + 40 Combine like terms: 10 + 40 = 50 20v = 50 Divide each side by '20'. v = 2.5 Simplifying v = 2.5
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