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Simplifying 5(v + -8) = 2v + -49 Reorder the terms: 5(-8 + v) = 2v + -49 (-8 * 5 + v * 5) = 2v + -49 (-40 + 5v) = 2v + -49 Reorder the terms: -40 + 5v = -49 + 2v Solving -40 + 5v = -49 + 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 + 5v + -2v = -49 + 2v + -2v Combine like terms: 5v + -2v = 3v -40 + 3v = -49 + 2v + -2v Combine like terms: 2v + -2v = 0 -40 + 3v = -49 + 0 -40 + 3v = -49 Add '40' to each side of the equation. -40 + 40 + 3v = -49 + 40 Combine like terms: -40 + 40 = 0 0 + 3v = -49 + 40 3v = -49 + 40 Combine like terms: -49 + 40 = -9 3v = -9 Divide each side by '3'. v = -3 Simplifying v = -3
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