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Simplifying v + 2 + -2(-6v + -2) = 3(v + -3) Reorder the terms: v + 2 + -2(-2 + -6v) = 3(v + -3) v + 2 + (-2 * -2 + -6v * -2) = 3(v + -3) v + 2 + (4 + 12v) = 3(v + -3) Reorder the terms: 2 + 4 + v + 12v = 3(v + -3) Combine like terms: 2 + 4 = 6 6 + v + 12v = 3(v + -3) Combine like terms: v + 12v = 13v 6 + 13v = 3(v + -3) Reorder the terms: 6 + 13v = 3(-3 + v) 6 + 13v = (-3 * 3 + v * 3) 6 + 13v = (-9 + 3v) Solving 6 + 13v = -9 + 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. 6 + 13v + -3v = -9 + 3v + -3v Combine like terms: 13v + -3v = 10v 6 + 10v = -9 + 3v + -3v Combine like terms: 3v + -3v = 0 6 + 10v = -9 + 0 6 + 10v = -9 Add '-6' to each side of the equation. 6 + -6 + 10v = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 10v = -9 + -6 10v = -9 + -6 Combine like terms: -9 + -6 = -15 10v = -15 Divide each side by '10'. v = -1.5 Simplifying v = -1.5
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