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Simplifying 20.5 = 9.5(7v + 3.5) Reorder the terms: 20.5 = 9.5(3.5 + 7v) 20.5 = (3.5 * 9.5 + 7v * 9.5) 20.5 = (33.25 + 66.5v) Solving 20.5 = 33.25 + 66.5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-66.5v' to each side of the equation. 20.5 + -66.5v = 33.25 + 66.5v + -66.5v Combine like terms: 66.5v + -66.5v = 0.0 20.5 + -66.5v = 33.25 + 0.0 20.5 + -66.5v = 33.25 Add '-20.5' to each side of the equation. 20.5 + -20.5 + -66.5v = 33.25 + -20.5 Combine like terms: 20.5 + -20.5 = 0.0 0.0 + -66.5v = 33.25 + -20.5 -66.5v = 33.25 + -20.5 Combine like terms: 33.25 + -20.5 = 12.75 -66.5v = 12.75 Divide each side by '-66.5'. v = -0.1917293233 Simplifying v = -0.1917293233
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