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Simplifying 5v + 3 + -4(-3v + -1) = 3(v + -1) Reorder the terms: 5v + 3 + -4(-1 + -3v) = 3(v + -1) 5v + 3 + (-1 * -4 + -3v * -4) = 3(v + -1) 5v + 3 + (4 + 12v) = 3(v + -1) Reorder the terms: 3 + 4 + 5v + 12v = 3(v + -1) Combine like terms: 3 + 4 = 7 7 + 5v + 12v = 3(v + -1) Combine like terms: 5v + 12v = 17v 7 + 17v = 3(v + -1) Reorder the terms: 7 + 17v = 3(-1 + v) 7 + 17v = (-1 * 3 + v * 3) 7 + 17v = (-3 + 3v) Solving 7 + 17v = -3 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 7 + 17v + -3v = -3 + 3v + -3v Combine like terms: 17v + -3v = 14v 7 + 14v = -3 + 3v + -3v Combine like terms: 3v + -3v = 0 7 + 14v = -3 + 0 7 + 14v = -3 Add '-7' to each side of the equation. 7 + -7 + 14v = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 14v = -3 + -7 14v = -3 + -7 Combine like terms: -3 + -7 = -10 14v = -10 Divide each side by '14'. v = -0.7142857143 Simplifying v = -0.7142857143
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