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Simplifying 5v + 9 + -3(-3v + -1) = 4(v + -1) Reorder the terms: 5v + 9 + -3(-1 + -3v) = 4(v + -1) 5v + 9 + (-1 * -3 + -3v * -3) = 4(v + -1) 5v + 9 + (3 + 9v) = 4(v + -1) Reorder the terms: 9 + 3 + 5v + 9v = 4(v + -1) Combine like terms: 9 + 3 = 12 12 + 5v + 9v = 4(v + -1) Combine like terms: 5v + 9v = 14v 12 + 14v = 4(v + -1) Reorder the terms: 12 + 14v = 4(-1 + v) 12 + 14v = (-1 * 4 + v * 4) 12 + 14v = (-4 + 4v) Solving 12 + 14v = -4 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 12 + 14v + -4v = -4 + 4v + -4v Combine like terms: 14v + -4v = 10v 12 + 10v = -4 + 4v + -4v Combine like terms: 4v + -4v = 0 12 + 10v = -4 + 0 12 + 10v = -4 Add '-12' to each side of the equation. 12 + -12 + 10v = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 10v = -4 + -12 10v = -4 + -12 Combine like terms: -4 + -12 = -16 10v = -16 Divide each side by '10'. v = -1.6 Simplifying v = -1.6
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