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Simplifying 5(v + -8) + -8v = -37 Reorder the terms: 5(-8 + v) + -8v = -37 (-8 * 5 + v * 5) + -8v = -37 (-40 + 5v) + -8v = -37 Combine like terms: 5v + -8v = -3v -40 + -3v = -37 Solving -40 + -3v = -37 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -3v = -37 + 40 Combine like terms: -40 + 40 = 0 0 + -3v = -37 + 40 -3v = -37 + 40 Combine like terms: -37 + 40 = 3 -3v = 3 Divide each side by '-3'. v = -1 Simplifying v = -1
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