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Simplifying 7v + 9 + -3(-3v + -1) = 6(v + -1) Reorder the terms: 7v + 9 + -3(-1 + -3v) = 6(v + -1) 7v + 9 + (-1 * -3 + -3v * -3) = 6(v + -1) 7v + 9 + (3 + 9v) = 6(v + -1) Reorder the terms: 9 + 3 + 7v + 9v = 6(v + -1) Combine like terms: 9 + 3 = 12 12 + 7v + 9v = 6(v + -1) Combine like terms: 7v + 9v = 16v 12 + 16v = 6(v + -1) Reorder the terms: 12 + 16v = 6(-1 + v) 12 + 16v = (-1 * 6 + v * 6) 12 + 16v = (-6 + 6v) Solving 12 + 16v = -6 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 12 + 16v + -6v = -6 + 6v + -6v Combine like terms: 16v + -6v = 10v 12 + 10v = -6 + 6v + -6v Combine like terms: 6v + -6v = 0 12 + 10v = -6 + 0 12 + 10v = -6 Add '-12' to each side of the equation. 12 + -12 + 10v = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 10v = -6 + -12 10v = -6 + -12 Combine like terms: -6 + -12 = -18 10v = -18 Divide each side by '10'. v = -1.8 Simplifying v = -1.8
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