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Simplifying -6(-3v + 6) + -6v = 6(v + -2) + -9 Reorder the terms: -6(6 + -3v) + -6v = 6(v + -2) + -9 (6 * -6 + -3v * -6) + -6v = 6(v + -2) + -9 (-36 + 18v) + -6v = 6(v + -2) + -9 Combine like terms: 18v + -6v = 12v -36 + 12v = 6(v + -2) + -9 Reorder the terms: -36 + 12v = 6(-2 + v) + -9 -36 + 12v = (-2 * 6 + v * 6) + -9 -36 + 12v = (-12 + 6v) + -9 Reorder the terms: -36 + 12v = -12 + -9 + 6v Combine like terms: -12 + -9 = -21 -36 + 12v = -21 + 6v Solving -36 + 12v = -21 + 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. -36 + 12v + -6v = -21 + 6v + -6v Combine like terms: 12v + -6v = 6v -36 + 6v = -21 + 6v + -6v Combine like terms: 6v + -6v = 0 -36 + 6v = -21 + 0 -36 + 6v = -21 Add '36' to each side of the equation. -36 + 36 + 6v = -21 + 36 Combine like terms: -36 + 36 = 0 0 + 6v = -21 + 36 6v = -21 + 36 Combine like terms: -21 + 36 = 15 6v = 15 Divide each side by '6'. v = 2.5 Simplifying v = 2.5
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