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Simplifying 8v + -19 = 5(v + -8) + -3 Reorder the terms: -19 + 8v = 5(v + -8) + -3 Reorder the terms: -19 + 8v = 5(-8 + v) + -3 -19 + 8v = (-8 * 5 + v * 5) + -3 -19 + 8v = (-40 + 5v) + -3 Reorder the terms: -19 + 8v = -40 + -3 + 5v Combine like terms: -40 + -3 = -43 -19 + 8v = -43 + 5v Solving -19 + 8v = -43 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -19 + 8v + -5v = -43 + 5v + -5v Combine like terms: 8v + -5v = 3v -19 + 3v = -43 + 5v + -5v Combine like terms: 5v + -5v = 0 -19 + 3v = -43 + 0 -19 + 3v = -43 Add '19' to each side of the equation. -19 + 19 + 3v = -43 + 19 Combine like terms: -19 + 19 = 0 0 + 3v = -43 + 19 3v = -43 + 19 Combine like terms: -43 + 19 = -24 3v = -24 Divide each side by '3'. v = -8 Simplifying v = -8
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