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Simplifying 5(7v + -8) = 22 + 2v Reorder the terms: 5(-8 + 7v) = 22 + 2v (-8 * 5 + 7v * 5) = 22 + 2v (-40 + 35v) = 22 + 2v Solving -40 + 35v = 22 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -40 + 35v + -2v = 22 + 2v + -2v Combine like terms: 35v + -2v = 33v -40 + 33v = 22 + 2v + -2v Combine like terms: 2v + -2v = 0 -40 + 33v = 22 + 0 -40 + 33v = 22 Add '40' to each side of the equation. -40 + 40 + 33v = 22 + 40 Combine like terms: -40 + 40 = 0 0 + 33v = 22 + 40 33v = 22 + 40 Combine like terms: 22 + 40 = 62 33v = 62 Divide each side by '33'. v = 1.878787879 Simplifying v = 1.878787879
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