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Simplifying -8 = 8(v + -5) + 8v Reorder the terms: -8 = 8(-5 + v) + 8v -8 = (-5 * 8 + v * 8) + 8v -8 = (-40 + 8v) + 8v Combine like terms: 8v + 8v = 16v -8 = -40 + 16v Solving -8 = -40 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -8 + -16v = -40 + 16v + -16v Combine like terms: 16v + -16v = 0 -8 + -16v = -40 + 0 -8 + -16v = -40 Add '8' to each side of the equation. -8 + 8 + -16v = -40 + 8 Combine like terms: -8 + 8 = 0 0 + -16v = -40 + 8 -16v = -40 + 8 Combine like terms: -40 + 8 = -32 -16v = -32 Divide each side by '-16'. v = 2 Simplifying v = 2
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