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Simplifying 39v + -1 = 0.5(7v + 8) Reorder the terms: -1 + 39v = 0.5(7v + 8) Reorder the terms: -1 + 39v = 0.5(8 + 7v) -1 + 39v = (8 * 0.5 + 7v * 0.5) -1 + 39v = (4 + 3.5v) Solving -1 + 39v = 4 + 3.5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3.5v' to each side of the equation. -1 + 39v + -3.5v = 4 + 3.5v + -3.5v Combine like terms: 39v + -3.5v = 35.5v -1 + 35.5v = 4 + 3.5v + -3.5v Combine like terms: 3.5v + -3.5v = 0.0 -1 + 35.5v = 4 + 0.0 -1 + 35.5v = 4 Add '1' to each side of the equation. -1 + 1 + 35.5v = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 35.5v = 4 + 1 35.5v = 4 + 1 Combine like terms: 4 + 1 = 5 35.5v = 5 Divide each side by '35.5'. v = 0.1408450704 Simplifying v = 0.1408450704
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