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Simplifying 5(v + -8) = 3v + -38 Reorder the terms: 5(-8 + v) = 3v + -38 (-8 * 5 + v * 5) = 3v + -38 (-40 + 5v) = 3v + -38 Reorder the terms: -40 + 5v = -38 + 3v Solving -40 + 5v = -38 + 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. -40 + 5v + -3v = -38 + 3v + -3v Combine like terms: 5v + -3v = 2v -40 + 2v = -38 + 3v + -3v Combine like terms: 3v + -3v = 0 -40 + 2v = -38 + 0 -40 + 2v = -38 Add '40' to each side of the equation. -40 + 40 + 2v = -38 + 40 Combine like terms: -40 + 40 = 0 0 + 2v = -38 + 40 2v = -38 + 40 Combine like terms: -38 + 40 = 2 2v = 2 Divide each side by '2'. v = 1 Simplifying v = 1
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