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Simplifying -23.5 = 2.5(5v + 6) Reorder the terms: -23.5 = 2.5(6 + 5v) -23.5 = (6 * 2.5 + 5v * 2.5) -23.5 = (15 + 12.5v) Solving -23.5 = 15 + 12.5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12.5v' to each side of the equation. -23.5 + -12.5v = 15 + 12.5v + -12.5v Combine like terms: 12.5v + -12.5v = 0.0 -23.5 + -12.5v = 15 + 0.0 -23.5 + -12.5v = 15 Add '23.5' to each side of the equation. -23.5 + 23.5 + -12.5v = 15 + 23.5 Combine like terms: -23.5 + 23.5 = 0.0 0.0 + -12.5v = 15 + 23.5 -12.5v = 15 + 23.5 Combine like terms: 15 + 23.5 = 38.5 -12.5v = 38.5 Divide each side by '-12.5'. v = -3.08 Simplifying v = -3.08
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