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Simplifying 5v + 4 + -3(-4v + -3) = 3(v + -1) Reorder the terms: 5v + 4 + -3(-3 + -4v) = 3(v + -1) 5v + 4 + (-3 * -3 + -4v * -3) = 3(v + -1) 5v + 4 + (9 + 12v) = 3(v + -1) Reorder the terms: 4 + 9 + 5v + 12v = 3(v + -1) Combine like terms: 4 + 9 = 13 13 + 5v + 12v = 3(v + -1) Combine like terms: 5v + 12v = 17v 13 + 17v = 3(v + -1) Reorder the terms: 13 + 17v = 3(-1 + v) 13 + 17v = (-1 * 3 + v * 3) 13 + 17v = (-3 + 3v) Solving 13 + 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. 13 + 17v + -3v = -3 + 3v + -3v Combine like terms: 17v + -3v = 14v 13 + 14v = -3 + 3v + -3v Combine like terms: 3v + -3v = 0 13 + 14v = -3 + 0 13 + 14v = -3 Add '-13' to each side of the equation. 13 + -13 + 14v = -3 + -13 Combine like terms: 13 + -13 = 0 0 + 14v = -3 + -13 14v = -3 + -13 Combine like terms: -3 + -13 = -16 14v = -16 Divide each side by '14'. v = -1.142857143 Simplifying v = -1.142857143
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