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Simplifying -6.5v + -7 + 5v = -27.5 Reorder the terms: -7 + -6.5v + 5v = -27.5 Combine like terms: -6.5v + 5v = -1.5v -7 + -1.5v = -27.5 Solving -7 + -1.5v = -27.5 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1.5v = -27.5 + 7 Combine like terms: -7 + 7 = 0 0 + -1.5v = -27.5 + 7 -1.5v = -27.5 + 7 Combine like terms: -27.5 + 7 = -20.5 -1.5v = -20.5 Divide each side by '-1.5'. v = 13.66666667 Simplifying v = 13.66666667
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