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Simplifying -27 + -7v = 8(6v + -5) Reorder the terms: -27 + -7v = 8(-5 + 6v) -27 + -7v = (-5 * 8 + 6v * 8) -27 + -7v = (-40 + 48v) Solving -27 + -7v = -40 + 48v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-48v' to each side of the equation. -27 + -7v + -48v = -40 + 48v + -48v Combine like terms: -7v + -48v = -55v -27 + -55v = -40 + 48v + -48v Combine like terms: 48v + -48v = 0 -27 + -55v = -40 + 0 -27 + -55v = -40 Add '27' to each side of the equation. -27 + 27 + -55v = -40 + 27 Combine like terms: -27 + 27 = 0 0 + -55v = -40 + 27 -55v = -40 + 27 Combine like terms: -40 + 27 = -13 -55v = -13 Divide each side by '-55'. v = 0.2363636364 Simplifying v = 0.2363636364
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