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Simplifying 40 + 6v = -7 + -49v + 4v Combine like terms: -49v + 4v = -45v 40 + 6v = -7 + -45v Solving 40 + 6v = -7 + -45v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '45v' to each side of the equation. 40 + 6v + 45v = -7 + -45v + 45v Combine like terms: 6v + 45v = 51v 40 + 51v = -7 + -45v + 45v Combine like terms: -45v + 45v = 0 40 + 51v = -7 + 0 40 + 51v = -7 Add '-40' to each side of the equation. 40 + -40 + 51v = -7 + -40 Combine like terms: 40 + -40 = 0 0 + 51v = -7 + -40 51v = -7 + -40 Combine like terms: -7 + -40 = -47 51v = -47 Divide each side by '51'. v = -0.9215686275 Simplifying v = -0.9215686275
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